3x^2+18x=15x^2

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Solution for 3x^2+18x=15x^2 equation:


Simplifying
3x2 + 18x = 15x2

Reorder the terms:
18x + 3x2 = 15x2

Solving
18x + 3x2 = 15x2

Solving for variable 'x'.

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

Combine like terms: 15x2 + -15x2 = 0
18x + -12x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(3 + -2x) = 0

Ignore the factor 6.

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 '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {0, 1.5}

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