(10x-2)(15+2x)=

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Solution for (10x-2)(15+2x)= equation: 


Simplifying
(10x + -2)(15 + 2x) = 0

Reorder the terms:
(-2 + 10x)(15 + 2x) = 0

Multiply (-2 + 10x) * (15 + 2x)
(-2(15 + 2x) + 10x * (15 + 2x)) = 0
((15 * -2 + 2x * -2) + 10x * (15 + 2x)) = 0
((-30 + -4x) + 10x * (15 + 2x)) = 0
(-30 + -4x + (15 * 10x + 2x * 10x)) = 0
(-30 + -4x + (150x + 20x2)) = 0

Combine like terms: -4x + 150x = 146x
(-30 + 146x + 20x2) = 0

Solving
-30 + 146x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 73x + 10x2) = 0

Factor a trinomial.
2((-15 + -2x)(1 + -5x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve:

Simplifying
1 + -5x = 0

Solving
1 + -5x = 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 + -5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -5x = 0 + -1
-5x = 0 + -1

Combine like terms: 0 + -1 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2
Solution
x = {-7.5, 0.2}

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