2(3x-40)(x-4)=

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Solution for 2(3x-40)(x-4)= equation: 


Simplifying
2(3x + -40)(x + -4) = 0

Reorder the terms:
2(-40 + 3x)(x + -4) = 0

Reorder the terms:
2(-40 + 3x)(-4 + x) = 0

Multiply (-40 + 3x) * (-4 + x)
2(-40(-4 + x) + 3x * (-4 + x)) = 0
2((-4 * -40 + x * -40) + 3x * (-4 + x)) = 0
2((160 + -40x) + 3x * (-4 + x)) = 0
2(160 + -40x + (-4 * 3x + x * 3x)) = 0
2(160 + -40x + (-12x + 3x2)) = 0

Combine like terms: -40x + -12x = -52x
2(160 + -52x + 3x2) = 0
(160 * 2 + -52x * 2 + 3x2 * 2) = 0
(320 + -104x + 6x2) = 0

Solving
320 + -104x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(160 + -52x + 3x2) = 0

Factor a trinomial.
2((4 + -1x)(40 + -3x)) = 0

Ignore the factor 2.

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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(40 + -3x)' equal to zero and attempt to solve:

Simplifying
40 + -3x = 0

Solving
40 + -3x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -3x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -3x = 0 + -40
-3x = 0 + -40

Combine like terms: 0 + -40 = -40
-3x = -40

Divide each side by '-3'.
x = 13.33333333

Simplifying
x = 13.33333333
Solution
x = {4, 13.33333333}

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