(5x+15)(6x-10)=

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Solution for (5x+15)(6x-10)= equation: 


Simplifying
(5x + 15)(6x + -10) = 0

Reorder the terms:
(15 + 5x)(6x + -10) = 0

Reorder the terms:
(15 + 5x)(-10 + 6x) = 0

Multiply (15 + 5x) * (-10 + 6x)
(15(-10 + 6x) + 5x * (-10 + 6x)) = 0
((-10 * 15 + 6x * 15) + 5x * (-10 + 6x)) = 0
((-150 + 90x) + 5x * (-10 + 6x)) = 0
(-150 + 90x + (-10 * 5x + 6x * 5x)) = 0
(-150 + 90x + (-50x + 30x2)) = 0

Combine like terms: 90x + -50x = 40x
(-150 + 40x + 30x2) = 0

Solving
-150 + 40x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-15 + 4x + 3x2) = 0

Factor a trinomial.
10((-3 + -1x)(5 + -3x)) = 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 '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {-3, 1.666666667}

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