15x^2-24x=12x^2+18x

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Solution for 15x^2-24x=12x^2+18x equation:


Simplifying
15x2 + -24x = 12x2 + 18x

Reorder the terms:
-24x + 15x2 = 12x2 + 18x

Reorder the terms:
-24x + 15x2 = 18x + 12x2

Solving
-24x + 15x2 = 18x + 12x2

Solving for variable 'x'.

Reorder the terms:
-24x + -18x + 15x2 + -12x2 = 18x + 12x2 + -18x + -12x2

Combine like terms: -24x + -18x = -42x
-42x + 15x2 + -12x2 = 18x + 12x2 + -18x + -12x2

Combine like terms: 15x2 + -12x2 = 3x2
-42x + 3x2 = 18x + 12x2 + -18x + -12x2

Reorder the terms:
-42x + 3x2 = 18x + -18x + 12x2 + -12x2

Combine like terms: 18x + -18x = 0
-42x + 3x2 = 0 + 12x2 + -12x2
-42x + 3x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-42x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-14 + x) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Simplifying x = 14

Solution

x = {0, 14}

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