2x^2+24=16x

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Solution for 2x^2+24=16x equation:


Simplifying
2x2 + 24 = 16x

Reorder the terms:
24 + 2x2 = 16x

Solving
24 + 2x2 = 16x

Solving for variable 'x'.

Reorder the terms:
24 + -16x + 2x2 = 16x + -16x

Combine like terms: 16x + -16x = 0
24 + -16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(12 + -8x + x2) = 0

Factor a trinomial.
2((2 + -1x)(6 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {2, 6}

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