5(5x-4)(2x-1)=

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Solution for 5(5x-4)(2x-1)= equation: 


Simplifying
5(5x + -4)(2x + -1) = 0

Reorder the terms:
5(-4 + 5x)(2x + -1) = 0

Reorder the terms:
5(-4 + 5x)(-1 + 2x) = 0

Multiply (-4 + 5x) * (-1 + 2x)
5(-4(-1 + 2x) + 5x * (-1 + 2x)) = 0
5((-1 * -4 + 2x * -4) + 5x * (-1 + 2x)) = 0
5((4 + -8x) + 5x * (-1 + 2x)) = 0
5(4 + -8x + (-1 * 5x + 2x * 5x)) = 0
5(4 + -8x + (-5x + 10x2)) = 0

Combine like terms: -8x + -5x = -13x
5(4 + -13x + 10x2) = 0
(4 * 5 + -13x * 5 + 10x2 * 5) = 0
(20 + -65x + 50x2) = 0

Solving
20 + -65x + 50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(4 + -13x + 10x2) = 0

Factor a trinomial.
5((1 + -2x)(4 + -5x)) = 0

Ignore the factor 5.

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

Subproblem 2
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Solution
x = {0.5, 0.8}

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