2x(x-3)=8

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Solution for 2x(x-3)=8 equation:


Simplifying
2x(x + -3) = 8
Reorder the terms:
2x(-3 + x) = 8
(-3 * 2x + x * 2x) = 8
(-6x + 2x2) = 8
Solving
-6x + 2x2 = 8
Solving for variable 'x'.
Reorder the terms:
-8 + -6x + 2x2 = 8 + -8
Combine like terms: 8 + -8 = 0
-8 + -6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -3x + x2) = 0
Factor a trinomial.
2((-1 + -1x)(4 + -1x)) = 0
Ignore the factor 2.

Subproblem 1

Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 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 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1

Subproblem 2

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

Solution

x = {-1, 4}

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