10x^2+29x=-18

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Solution for 10x^2+29x=-18 equation:


Simplifying
10x2 + 29x = -18

Reorder the terms:
29x + 10x2 = -18

Solving
29x + 10x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + 29x + 10x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + 29x + 10x2 = 0

Factor a trinomial.
(2 + x)(9 + 10x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + 10x)' equal to zero and attempt to solve: Simplifying 9 + 10x = 0 Solving 9 + 10x = 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 + 10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 0 + -9 10x = 0 + -9 Combine like terms: 0 + -9 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9

Solution

x = {-2, -0.9}

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