Solve Using the Square Root Property 5x^2+16x-84=0

Math
5×2+16x-84=0
Factor by grouping.
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For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅-84=-420 and whose sum is b=16.
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Factor 16 out of 16x.
5×2+16(x)-84=0
Rewrite 16 as -14 plus 30
5×2+(-14+30)x-84=0
Apply the distributive property.
5×2-14x+30x-84=0
5×2-14x+30x-84=0
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(5×2-14x)+30x-84=0
Factor out the greatest common factor (GCF) from each group.
x(5x-14)+6(5x-14)=0
x(5x-14)+6(5x-14)=0
Factor the polynomial by factoring out the greatest common factor, 5x-14.
(5x-14)(x+6)=0
(5x-14)(x+6)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
5x-14=0
x+6=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
5x-14=0
Add 14 to both sides of the equation.
5x=14
Divide each term by 5 and simplify.
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Divide each term in 5x=14 by 5.
5×5=145
Cancel the common factor of 5.
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Cancel the common factor.
5×5=145
Divide x by 1.
x=145
x=145
x=145
x=145
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
x+6=0
Subtract 6 from both sides of the equation.
x=-6
x=-6
The final solution is all the values that make (5x-14)(x+6)=0 true.
x=145,-6
Solve Using the Square Root Property 5x^2+16x-84=0

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