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

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


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

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

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

Multiply (-5 + x) * (4 + 3x)
2(-5(4 + 3x) + x(4 + 3x)) = 0
2((4 * -5 + 3x * -5) + x(4 + 3x)) = 0
2((-20 + -15x) + x(4 + 3x)) = 0
2(-20 + -15x + (4 * x + 3x * x)) = 0
2(-20 + -15x + (4x + 3x2)) = 0

Combine like terms: -15x + 4x = -11x
2(-20 + -11x + 3x2) = 0
(-20 * 2 + -11x * 2 + 3x2 * 2) = 0
(-40 + -22x + 6x2) = 0

Solving
-40 + -22x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-20 + -11x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 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 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-1.333333333, 5}

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