2x^2+9x=3560

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Solution for 2x^2+9x=3560 equation:


Simplifying
2x2 + 9x = 3560

Reorder the terms:
9x + 2x2 = 3560

Solving
9x + 2x2 = 3560

Solving for variable 'x'.

Reorder the terms:
-3560 + 9x + 2x2 = 3560 + -3560

Combine like terms: 3560 + -3560 = 0
-3560 + 9x + 2x2 = 0

Factor a trinomial.
(-89 + -2x)(40 + -1x) = 0

Subproblem 1

Set the factor '(-89 + -2x)' equal to zero and attempt to solve: Simplifying -89 + -2x = 0 Solving -89 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '89' to each side of the equation. -89 + 89 + -2x = 0 + 89 Combine like terms: -89 + 89 = 0 0 + -2x = 0 + 89 -2x = 0 + 89 Combine like terms: 0 + 89 = 89 -2x = 89 Divide each side by '-2'. x = -44.5 Simplifying x = -44.5

Subproblem 2

Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40

Solution

x = {-44.5, 40}

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