=(-6x+3)(-5-4x)

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Solution for =(-6x+3)(-5-4x) equation: 


Simplifying
0 = (-6x + 3)(-5 + -4x)

Reorder the terms:
0 = (3 + -6x)(-5 + -4x)

Multiply (3 + -6x) * (-5 + -4x)
0 = (3(-5 + -4x) + -6x * (-5 + -4x))
0 = ((-5 * 3 + -4x * 3) + -6x * (-5 + -4x))
0 = ((-15 + -12x) + -6x * (-5 + -4x))
0 = (-15 + -12x + (-5 * -6x + -4x * -6x))
0 = (-15 + -12x + (30x + 24x2))

Combine like terms: -12x + 30x = 18x
0 = (-15 + 18x + 24x2)

Solving
0 = -15 + 18x + 24x2

Solving for variable 'x'.

Combine like terms: 0 + 15 = 15
15 + -18x + -24x2 = -15 + 18x + 24x2 + 15 + -18x + -24x2

Reorder the terms:
15 + -18x + -24x2 = -15 + 15 + 18x + -18x + 24x2 + -24x2

Combine like terms: -15 + 15 = 0
15 + -18x + -24x2 = 0 + 18x + -18x + 24x2 + -24x2
15 + -18x + -24x2 = 18x + -18x + 24x2 + -24x2

Combine like terms: 18x + -18x = 0
15 + -18x + -24x2 = 0 + 24x2 + -24x2
15 + -18x + -24x2 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
15 + -18x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(5 + -6x + -8x2) = 0

Factor a trinomial.
3((1 + -2x)(5 + 4x)) = 0

Ignore the factor 3.

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 '(5 + 4x)' equal to zero and attempt to solve:

Simplifying
5 + 4x = 0

Solving
5 + 4x = 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 + 4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 0 + -5
4x = 0 + -5

Combine like terms: 0 + -5 = -5
4x = -5

Divide each side by '4'.
x = -1.25

Simplifying
x = -1.25
Solution
x = {0.5, -1.25}

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