2x^2-11x=30

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Solution for 2x^2-11x=30 equation:


Simplifying
2x2 + -11x = 30

Reorder the terms:
-11x + 2x2 = 30

Solving
-11x + 2x2 = 30

Solving for variable 'x'.

Reorder the terms:
-30 + -11x + 2x2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -11x + 2x2 = 0

Factor a trinomial.
(-2 + -1x)(15 + -2x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(15 + -2x)' equal to zero and attempt to solve: Simplifying 15 + -2x = 0 Solving 15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x = 0 + -15 -2x = 0 + -15 Combine like terms: 0 + -15 = -15 -2x = -15 Divide each side by '-2'. x = 7.5 Simplifying x = 7.5

Solution

x = {-2, 7.5}

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