9(x-7)(5x+7)=0

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Solution for 9(x-7)(5x+7)=0 equation: 


Simplifying
9(x + -7)(5x + 7) = 0

Reorder the terms:
9(-7 + x)(5x + 7) = 0

Reorder the terms:
9(-7 + x)(7 + 5x) = 0

Multiply (-7 + x) * (7 + 5x)
9(-7(7 + 5x) + x(7 + 5x)) = 0
9((7 * -7 + 5x * -7) + x(7 + 5x)) = 0
9((-49 + -35x) + x(7 + 5x)) = 0
9(-49 + -35x + (7 * x + 5x * x)) = 0
9(-49 + -35x + (7x + 5x2)) = 0

Combine like terms: -35x + 7x = -28x
9(-49 + -28x + 5x2) = 0
(-49 * 9 + -28x * 9 + 5x2 * 9) = 0
(-441 + -252x + 45x2) = 0

Solving
-441 + -252x + 45x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9'.
9(-49 + -28x + 5x2) = 0

Factor a trinomial.
9((-7 + -5x)(7 + -1x)) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve:

Simplifying
-7 + -5x = 0

Solving
-7 + -5x = 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 + -5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 0 + 7
-5x = 0 + 7

Combine like terms: 0 + 7 = 7
-5x = 7

Divide each side by '-5'.
x = -1.4

Simplifying
x = -1.4

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-1.4, 7}

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