(81x-8x+3x-2)(125x-16x+5)=

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Solution for (81x-8x+3x-2)(125x-16x+5)= equation: 


Simplifying
(81x + -8x + 3x + -2)(125x + -16x + 5) = 0

Reorder the terms:
(-2 + 81x + -8x + 3x)(125x + -16x + 5) = 0

Combine like terms: 81x + -8x = 73x
(-2 + 73x + 3x)(125x + -16x + 5) = 0

Combine like terms: 73x + 3x = 76x
(-2 + 76x)(125x + -16x + 5) = 0

Reorder the terms:
(-2 + 76x)(5 + 125x + -16x) = 0

Combine like terms: 125x + -16x = 109x
(-2 + 76x)(5 + 109x) = 0

Multiply (-2 + 76x) * (5 + 109x)
(-2(5 + 109x) + 76x * (5 + 109x)) = 0
((5 * -2 + 109x * -2) + 76x * (5 + 109x)) = 0
((-10 + -218x) + 76x * (5 + 109x)) = 0
(-10 + -218x + (5 * 76x + 109x * 76x)) = 0
(-10 + -218x + (380x + 8284x2)) = 0

Combine like terms: -218x + 380x = 162x
(-10 + 162x + 8284x2) = 0

Solving
-10 + 162x + 8284x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 81x + 4142x2) = 0

Factor a trinomial.
2((-5 + -109x)(1 + -38x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-5 + -109x)' equal to zero and attempt to solve:

Simplifying
-5 + -109x = 0

Solving
-5 + -109x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -109x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -109x = 0 + 5
-109x = 0 + 5

Combine like terms: 0 + 5 = 5
-109x = 5

Divide each side by '-109'.
x = -0.04587155963

Simplifying
x = -0.04587155963

Subproblem 2
Set the factor '(1 + -38x)' equal to zero and attempt to solve:

Simplifying
1 + -38x = 0

Solving
1 + -38x = 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 + -38x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -38x = 0 + -1
-38x = 0 + -1

Combine like terms: 0 + -1 = -1
-38x = -1

Divide each side by '-38'.
x = 0.02631578947

Simplifying
x = 0.02631578947
Solution
x = {-0.04587155963, 0.02631578947}

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