5(2-8x)(2x+15)=0

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Solution for 5(2-8x)(2x+15)=0 equation: 


Simplifying
5(2 + -8x)(2x + 15) = 0

Reorder the terms:
5(2 + -8x)(15 + 2x) = 0

Multiply (2 + -8x) * (15 + 2x)
5(2(15 + 2x) + -8x * (15 + 2x)) = 0
5((15 * 2 + 2x * 2) + -8x * (15 + 2x)) = 0
5((30 + 4x) + -8x * (15 + 2x)) = 0
5(30 + 4x + (15 * -8x + 2x * -8x)) = 0
5(30 + 4x + (-120x + -16x2)) = 0

Combine like terms: 4x + -120x = -116x
5(30 + -116x + -16x2) = 0
(30 * 5 + -116x * 5 + -16x2 * 5) = 0
(150 + -580x + -80x2) = 0

Solving
150 + -580x + -80x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(15 + -58x + -8x2) = 0

Factor a trinomial.
10((1 + -4x)(15 + 2x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(1 + -4x)' equal to zero and attempt to solve:

Simplifying
1 + -4x = 0

Solving
1 + -4x = 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 + -4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = 0 + -1
-4x = 0 + -1

Combine like terms: 0 + -1 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5
Solution
x = {0.25, -7.5}

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