153=2x^2-x

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Solution for 153=2x^2-x equation:


Simplifying
153 = 2x2 + -1x

Reorder the terms:
153 = -1x + 2x2

Solving
153 = -1x + 2x2

Solving for variable 'x'.

Reorder the terms:
153 + x + -2x2 = -1x + x + 2x2 + -2x2

Combine like terms: -1x + x = 0
153 + x + -2x2 = 0 + 2x2 + -2x2
153 + x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
153 + x + -2x2 = 0

Factor a trinomial.
(9 + -1x)(17 + 2x) = 0

Subproblem 1

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Subproblem 2

Set the factor '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5

Solution

x = {9, -8.5}

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