80=(2)(x)(x-3)

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Solution for 80=(2)(x)(x-3) equation:


Simplifying
80 = (2)(x)(x + -3)

Reorder the terms:
80 = 2x(-3 + x)
80 = (-3 * 2x + x * 2x)
80 = (-6x + 2x2)

Solving
80 = -6x + 2x2

Solving for variable 'x'.

Reorder the terms:
80 + 6x + -2x2 = -6x + 6x + 2x2 + -2x2

Combine like terms: -6x + 6x = 0
80 + 6x + -2x2 = 0 + 2x2 + -2x2
80 + 6x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
80 + 6x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + 3x + -1x2) = 0

Factor a trinomial.
2((8 + -1x)(5 + x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8

Subproblem 2

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {8, -5}

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