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

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


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

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

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

Multiply (9 + 9x) * (-7 + 4x)
(9(-7 + 4x) + 9x * (-7 + 4x)) = 0
((-7 * 9 + 4x * 9) + 9x * (-7 + 4x)) = 0
((-63 + 36x) + 9x * (-7 + 4x)) = 0
(-63 + 36x + (-7 * 9x + 4x * 9x)) = 0
(-63 + 36x + (-63x + 36x2)) = 0

Combine like terms: 36x + -63x = -27x
(-63 + -27x + 36x2) = 0

Solving
-63 + -27x + 36x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-7 + -3x + 4x2) = 0

Factor a trinomial.
9((-1 + -1x)(7 + -4x)) = 0

Ignore the factor 9.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {-1, 1.75}

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