(7x-12)*(4x+9)=

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Solution for (7x-12)*(4x+9)= equation:


Simplifying
(7x + -12)(4x + 9) = 0

Reorder the terms:
(-12 + 7x)(4x + 9) = 0

Reorder the terms:
(-12 + 7x)(9 + 4x) = 0

Multiply (-12 + 7x) * (9 + 4x)
(-12(9 + 4x) + 7x * (9 + 4x)) = 0
((9 * -12 + 4x * -12) + 7x * (9 + 4x)) = 0
((-108 + -48x) + 7x * (9 + 4x)) = 0
(-108 + -48x + (9 * 7x + 4x * 7x)) = 0
(-108 + -48x + (63x + 28x2)) = 0

Combine like terms: -48x + 63x = 15x
(-108 + 15x + 28x2) = 0

Solving
-108 + 15x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -4x)(12 + -7x) = 0


Subproblem 1
Set the factor '(-9 + -4x)' equal to zero and attempt to solve:

Simplifying
-9 + -4x = 0

Solving
-9 + -4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = 0 + 9
-4x = 0 + 9

Combine like terms: 0 + 9 = 9
-4x = 9

Divide each side by '-4'.
x = -2.25

Simplifying
x = -2.25

Subproblem 2
Set the factor '(12 + -7x)' equal to zero and attempt to solve:

Simplifying
12 + -7x = 0

Solving
12 + -7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + -7x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 0 + -12
-7x = 0 + -12

Combine like terms: 0 + -12 = -12
-7x = -12

Divide each side by '-7'.
x = 1.714285714

Simplifying
x = 1.714285714
Solution
x = {-2.25, 1.714285714}

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