20x^2+6x=5x^2

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Solution for 20x^2+6x=5x^2 equation:


Simplifying
20x2 + 6x = 5x2

Reorder the terms:
6x + 20x2 = 5x2

Solving
6x + 20x2 = 5x2

Solving for variable 'x'.

Combine like terms: 20x2 + -5x2 = 15x2
6x + 15x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
6x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(2 + 5x) = 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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4

Solution

x = {0, -0.4}

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