(5x+15)(10x-8)=

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Solution for (5x+15)(10x-8)= equation: 


Simplifying
(5x + 15)(10x + -8) = 0

Reorder the terms:
(15 + 5x)(10x + -8) = 0

Reorder the terms:
(15 + 5x)(-8 + 10x) = 0

Multiply (15 + 5x) * (-8 + 10x)
(15(-8 + 10x) + 5x * (-8 + 10x)) = 0
((-8 * 15 + 10x * 15) + 5x * (-8 + 10x)) = 0
((-120 + 150x) + 5x * (-8 + 10x)) = 0
(-120 + 150x + (-8 * 5x + 10x * 5x)) = 0
(-120 + 150x + (-40x + 50x2)) = 0

Combine like terms: 150x + -40x = 110x
(-120 + 110x + 50x2) = 0

Solving
-120 + 110x + 50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-12 + 11x + 5x2) = 0

Factor a trinomial.
10((-3 + -1x)(4 + -5x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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 = {-3, 0.8}

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