-3(x-4)(2x-5)=

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Solution for -3(x-4)(2x-5)= equation: 


Simplifying
-3(x + -4)(2x + -5) = 0

Reorder the terms:
-3(-4 + x)(2x + -5) = 0

Reorder the terms:
-3(-4 + x)(-5 + 2x) = 0

Multiply (-4 + x) * (-5 + 2x)
-3(-4(-5 + 2x) + x(-5 + 2x)) = 0
-3((-5 * -4 + 2x * -4) + x(-5 + 2x)) = 0
-3((20 + -8x) + x(-5 + 2x)) = 0
-3(20 + -8x + (-5 * x + 2x * x)) = 0
-3(20 + -8x + (-5x + 2x2)) = 0

Combine like terms: -8x + -5x = -13x
-3(20 + -13x + 2x2) = 0
(20 * -3 + -13x * -3 + 2x2 * -3) = 0
(-60 + 39x + -6x2) = 0

Solving
-60 + 39x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + 13x + -2x2) = 0

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

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

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

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

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

Simplifying
x = 4

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {4, 2.5}

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