5x^2-20=15x

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Solution for 5x^2-20=15x equation:


Simplifying
5x2 + -20 = 15x

Reorder the terms:
-20 + 5x2 = 15x

Solving
-20 + 5x2 = 15x

Solving for variable 'x'.

Reorder the terms:
-20 + -15x + 5x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
-20 + -15x + 5x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + -3x + x2) = 0

Factor a trinomial.
5((-1 + -1x)(4 + -1x)) = 0

Ignore the factor 5.

Subproblem 1

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

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 = {-1, 4}

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