-5x(2x-7)=8x

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Solution for -5x(2x-7)=8x equation: 


Simplifying
-5x(2x + -7) = 8x

Reorder the terms:
-5x(-7 + 2x) = 8x
(-7 * -5x + 2x * -5x) = 8x
(35x + -10x2) = 8x

Solving
35x + -10x2 = 8x

Solving for variable 'x'.

Reorder the terms:
35x + -8x + -10x2 = 8x + -8x

Combine like terms: 35x + -8x = 27x
27x + -10x2 = 8x + -8x

Combine like terms: 8x + -8x = 0
27x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(27 + -10x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(27 + -10x)' equal to zero and attempt to solve:

Simplifying
27 + -10x = 0

Solving
27 + -10x = 0

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

Add '-27' to each side of the equation.
27 + -27 + -10x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + -10x = 0 + -27
-10x = 0 + -27

Combine like terms: 0 + -27 = -27
-10x = -27

Divide each side by '-10'.
x = 2.7

Simplifying
x = 2.7
Solution
x = {0, 2.7}

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