3x^2-8x=2x^2-16

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Solution for 3x^2-8x=2x^2-16 equation:


Simplifying
3x2 + -8x = 2x2 + -16

Reorder the terms:
-8x + 3x2 = 2x2 + -16

Reorder the terms:
-8x + 3x2 = -16 + 2x2

Solving
-8x + 3x2 = -16 + 2x2

Solving for variable 'x'.

Reorder the terms:
16 + -8x + 3x2 + -2x2 = -16 + 2x2 + 16 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
16 + -8x + 1x2 = -16 + 2x2 + 16 + -2x2

Reorder the terms:
16 + -8x + 1x2 = -16 + 16 + 2x2 + -2x2

Combine like terms: -16 + 16 = 0
16 + -8x + 1x2 = 0 + 2x2 + -2x2
16 + -8x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
16 + -8x + 1x2 = 0

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

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 '(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 = {4, 4}

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