15x(8x-5)=4x-8

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Solution for 15x(8x-5)=4x-8 equation: 


Simplifying
15x(8x + -5) = 4x + -8

Reorder the terms:
15x(-5 + 8x) = 4x + -8
(-5 * 15x + 8x * 15x) = 4x + -8
(-75x + 120x2) = 4x + -8

Reorder the terms:
-75x + 120x2 = -8 + 4x

Solving
-75x + 120x2 = -8 + 4x

Solving for variable 'x'.

Reorder the terms:
8 + -75x + -4x + 120x2 = -8 + 4x + 8 + -4x

Combine like terms: -75x + -4x = -79x
8 + -79x + 120x2 = -8 + 4x + 8 + -4x

Reorder the terms:
8 + -79x + 120x2 = -8 + 8 + 4x + -4x

Combine like terms: -8 + 8 = 0
8 + -79x + 120x2 = 0 + 4x + -4x
8 + -79x + 120x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -79x + 120x2 = 0

Factor a trinomial.
(1 + -8x)(8 + -15x) = 0


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

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125

Subproblem 2
Set the factor '(8 + -15x)' equal to zero and attempt to solve:

Simplifying
8 + -15x = 0

Solving
8 + -15x = 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 + -15x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -15x = 0 + -8
-15x = 0 + -8

Combine like terms: 0 + -8 = -8
-15x = -8

Divide each side by '-15'.
x = 0.5333333333

Simplifying
x = 0.5333333333
Solution
x = {0.125, 0.5333333333}

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