2x^2-9x=95

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Solution for 2x^2-9x=95 equation:


Simplifying
2x2 + -9x = 95

Reorder the terms:
-9x + 2x2 = 95

Solving
-9x + 2x2 = 95

Solving for variable 'x'.

Reorder the terms:
-95 + -9x + 2x2 = 95 + -95

Combine like terms: 95 + -95 = 0
-95 + -9x + 2x2 = 0

Factor a trinomial.
(-5 + -1x)(19 + -2x) = 0

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(19 + -2x)' equal to zero and attempt to solve: Simplifying 19 + -2x = 0 Solving 19 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2x = 0 + -19 -2x = 0 + -19 Combine like terms: 0 + -19 = -19 -2x = -19 Divide each side by '-2'. x = 9.5 Simplifying x = 9.5

Solution

x = {-5, 9.5}

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