1X^2+22X=-40

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Solution for 1X^2+22X=-40 equation:


Simplifying
1X2 + 22X = -40

Reorder the terms:
22X + 1X2 = -40

Solving
22X + 1X2 = -40

Solving for variable 'X'.

Reorder the terms:
40 + 22X + 1X2 = -40 + 40

Combine like terms: -40 + 40 = 0
40 + 22X + 1X2 = 0

Factor a trinomial.
(20 + X)(2 + X) = 0

Subproblem 1

Set the factor '(20 + X)' equal to zero and attempt to solve: Simplifying 20 + X = 0 Solving 20 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + X = 0 + -20 Combine like terms: 20 + -20 = 0 0 + X = 0 + -20 X = 0 + -20 Combine like terms: 0 + -20 = -20 X = -20 Simplifying X = -20

Subproblem 2

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

Solution

X = {-20, -2}

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