4(8-9x)(10x+7)=0

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Solution for 4(8-9x)(10x+7)=0 equation: 


Simplifying
4(8 + -9x)(10x + 7) = 0

Reorder the terms:
4(8 + -9x)(7 + 10x) = 0

Multiply (8 + -9x) * (7 + 10x)
4(8(7 + 10x) + -9x * (7 + 10x)) = 0
4((7 * 8 + 10x * 8) + -9x * (7 + 10x)) = 0
4((56 + 80x) + -9x * (7 + 10x)) = 0
4(56 + 80x + (7 * -9x + 10x * -9x)) = 0
4(56 + 80x + (-63x + -90x2)) = 0

Combine like terms: 80x + -63x = 17x
4(56 + 17x + -90x2) = 0
(56 * 4 + 17x * 4 + -90x2 * 4) = 0
(224 + 68x + -360x2) = 0

Solving
224 + 68x + -360x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(56 + 17x + -90x2) = 0

Factor a trinomial.
4((8 + -9x)(7 + 10x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(8 + -9x)' equal to zero and attempt to solve:

Simplifying
8 + -9x = 0

Solving
8 + -9x = 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 + -9x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = 0 + -8
-9x = 0 + -8

Combine like terms: 0 + -8 = -8
-9x = -8

Divide each side by '-9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

Subproblem 2
Set the factor '(7 + 10x)' equal to zero and attempt to solve:

Simplifying
7 + 10x = 0

Solving
7 + 10x = 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 + 10x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 10x = 0 + -7
10x = 0 + -7

Combine like terms: 0 + -7 = -7
10x = -7

Divide each side by '10'.
x = -0.7

Simplifying
x = -0.7
Solution
x = {0.8888888889, -0.7}

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