6x^2+5x-20=5

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


Simplifying
6x2 + 5x + -20 = 5

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

Solving
-20 + 5x + 6x2 = 5

Solving for variable 'x'.

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

Combine like terms: -20 + -5 = -25
-25 + 5x + 6x2 = 5 + -5

Combine like terms: 5 + -5 = 0
-25 + 5x + 6x2 = 0

Factor a trinomial.
(-5 + -2x)(5 + -3x) = 0

Subproblem 1

Set the factor '(-5 + -2x)' equal to zero and attempt to solve: Simplifying -5 + -2x = 0 Solving -5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = 0 + 5 -2x = 0 + 5 Combine like terms: 0 + 5 = 5 -2x = 5 Divide each side by '-2'. x = -2.5 Simplifying x = -2.5

Subproblem 2

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {-2.5, 1.666666667}

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