(4x+9)(7x-8)=0

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Solution for (4x+9)(7x-8)=0 equation: 


Simplifying
(4x + 9)(7x + -8) = 0

Reorder the terms:
(9 + 4x)(7x + -8) = 0

Reorder the terms:
(9 + 4x)(-8 + 7x) = 0

Multiply (9 + 4x) * (-8 + 7x)
(9(-8 + 7x) + 4x * (-8 + 7x)) = 0
((-8 * 9 + 7x * 9) + 4x * (-8 + 7x)) = 0
((-72 + 63x) + 4x * (-8 + 7x)) = 0
(-72 + 63x + (-8 * 4x + 7x * 4x)) = 0
(-72 + 63x + (-32x + 28x2)) = 0

Combine like terms: 63x + -32x = 31x
(-72 + 31x + 28x2) = 0

Solving
-72 + 31x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -4x)(8 + -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 '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-2.25, 1.142857143}

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