Solve Using the Square Root Property 24x^2-14x=6

Math
24×2-14x=6
Move 6 to the left side of the equation by subtracting it from both sides.
24×2-14x-6=0
Factor 2 out of 24×2-14x-6.
Tap for more steps…
Factor 2 out of 24×2.
2(12×2)-14x-6=0
Factor 2 out of -14x.
2(12×2)+2(-7x)-6=0
Factor 2 out of -6.
2(12×2)+2(-7x)+2(-3)=0
Factor 2 out of 2(12×2)+2(-7x).
2(12×2-7x)+2(-3)=0
Factor 2 out of 2(12×2-7x)+2(-3).
2(12×2-7x-3)=0
2(12×2-7x-3)=0
Divide each term by 2 and simplify.
Tap for more steps…
Divide each term in 2(12×2-7x-3)=0 by 2.
2(12×2-7x-3)2=02
Cancel the common factor of 2.
Tap for more steps…
Cancel the common factor.
2(12×2-7x-3)2=02
Divide 12×2-7x-3 by 1.
12×2-7x-3=02
12×2-7x-3=02
Divide 0 by 2.
12×2-7x-3=0
12×2-7x-3=0
Use the quadratic formula to find the solutions.
-b±b2-4(ac)2a
Substitute the values a=12, b=-7, and c=-3 into the quadratic formula and solve for x.
7±(-7)2-4⋅(12⋅-3)2⋅12
Simplify.
Tap for more steps…
Simplify the numerator.
Tap for more steps…
Raise -7 to the power of 2.
x=7±49-4⋅(12⋅-3)2⋅12
Multiply 12 by -3.
x=7±49-4⋅-362⋅12
Multiply -4 by -36.
x=7±49+1442⋅12
Add 49 and 144.
x=7±1932⋅12
x=7±1932⋅12
Multiply 2 by 12.
x=7±19324
x=7±19324
Simplify the expression to solve for the + portion of the ±.
Tap for more steps…
Simplify the numerator.
Tap for more steps…
Raise -7 to the power of 2.
x=7±49-4⋅(12⋅-3)2⋅12
Multiply 12 by -3.
x=7±49-4⋅-362⋅12
Multiply -4 by -36.
x=7±49+1442⋅12
Add 49 and 144.
x=7±1932⋅12
x=7±1932⋅12
Multiply 2 by 12.
x=7±19324
Change the ± to +.
x=7+19324
x=7+19324
Simplify the expression to solve for the – portion of the ±.
Tap for more steps…
Simplify the numerator.
Tap for more steps…
Raise -7 to the power of 2.
x=7±49-4⋅(12⋅-3)2⋅12
Multiply 12 by -3.
x=7±49-4⋅-362⋅12
Multiply -4 by -36.
x=7±49+1442⋅12
Add 49 and 144.
x=7±1932⋅12
x=7±1932⋅12
Multiply 2 by 12.
x=7±19324
Change the ± to -.
x=7-19324
x=7-19324
The final answer is the combination of both solutions.
x=7+19324,7-19324
The result can be shown in multiple forms.
Exact Form:
x=7+19324,7-19324
Decimal Form:
x=0.87051849…,-0.28718516…
Solve Using the Square Root Property 24x^2-14x=6

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top