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

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Solution for 4(x-7)(5x+9)=0 equation: 


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

Reorder the terms:
4(-7 + x)(5x + 9) = 0

Reorder the terms:
4(-7 + x)(9 + 5x) = 0

Multiply (-7 + x) * (9 + 5x)
4(-7(9 + 5x) + x(9 + 5x)) = 0
4((9 * -7 + 5x * -7) + x(9 + 5x)) = 0
4((-63 + -35x) + x(9 + 5x)) = 0
4(-63 + -35x + (9 * x + 5x * x)) = 0
4(-63 + -35x + (9x + 5x2)) = 0

Combine like terms: -35x + 9x = -26x
4(-63 + -26x + 5x2) = 0
(-63 * 4 + -26x * 4 + 5x2 * 4) = 0
(-252 + -104x + 20x2) = 0

Solving
-252 + -104x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-63 + -26x + 5x2) = 0

Factor a trinomial.
4((-9 + -5x)(7 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-9 + -5x)' equal to zero and attempt to solve:

Simplifying
-9 + -5x = 0

Solving
-9 + -5x = 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 + -5x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -5x = 0 + 9
-5x = 0 + 9

Combine like terms: 0 + 9 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8

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 = {-1.8, 7}

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