(10x+5)(4x-6)=

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Solution for (10x+5)(4x-6)= equation: 


Simplifying
(10x + 5)(4x + -6) = 0

Reorder the terms:
(5 + 10x)(4x + -6) = 0

Reorder the terms:
(5 + 10x)(-6 + 4x) = 0

Multiply (5 + 10x) * (-6 + 4x)
(5(-6 + 4x) + 10x * (-6 + 4x)) = 0
((-6 * 5 + 4x * 5) + 10x * (-6 + 4x)) = 0
((-30 + 20x) + 10x * (-6 + 4x)) = 0
(-30 + 20x + (-6 * 10x + 4x * 10x)) = 0
(-30 + 20x + (-60x + 40x2)) = 0

Combine like terms: 20x + -60x = -40x
(-30 + -40x + 40x2) = 0

Solving
-30 + -40x + 40x2 = 0

Solving for variable 'x'.

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

Factor a trinomial.
10((-1 + -2x)(3 + -2x)) = 0

Ignore the factor 10.

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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Divide each side by '-2'.
x = 1.5

Simplifying
x = 1.5
Solution
x = {-0.5, 1.5}

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