Solve using the Square Root Property 4x^2-15x+9=0

Math
4×2-15x+9=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=4⋅9=36 and whose sum is b=-15.
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Factor -15 out of -15x.
4×2-15x+9=0
Rewrite -15 as -3 plus -12
4×2+(-3-12)x+9=0
Apply the distributive property.
4×2-3x-12x+9=0
4×2-3x-12x+9=0
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
(4×2-3x)-12x+9=0
Factor out the greatest common factor (GCF) from each group.
x(4x-3)-3(4x-3)=0
x(4x-3)-3(4x-3)=0
Factor the polynomial by factoring out the greatest common factor, 4x-3.
(4x-3)(x-3)=0
(4x-3)(x-3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
4x-3=0
x-3=0
Set the first factor equal to 0 and solve.
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Set the first factor equal to 0.
4x-3=0
Add 3 to both sides of the equation.
4x=3
Divide each term by 4 and simplify.
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Divide each term in 4x=3 by 4.
4×4=34
Cancel the common factor of 4.
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Cancel the common factor.
4×4=34
Divide x by 1.
x=34
x=34
x=34
x=34
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
x-3=0
Add 3 to both sides of the equation.
x=3
x=3
The final solution is all the values that make (4x-3)(x-3)=0 true.
x=34,3
Solve using the Square Root Property 4x^2-15x+9=0

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