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Simplifying x2 + 11x + -12 = -3x2 + -22x + -62 Reorder the terms: -12 + 11x + x2 = -3x2 + -22x + -62 Reorder the terms: -12 + 11x + x2 = -62 + -22x + -3x2 Solving -12 + 11x + x2 = -62 + -22x + -3x2 Solving for variable 'x'. Reorder the terms: -12 + 62 + 11x + 22x + x2 + 3x2 = -62 + -22x + -3x2 + 62 + 22x + 3x2 Combine like terms: -12 + 62 = 50 50 + 11x + 22x + x2 + 3x2 = -62 + -22x + -3x2 + 62 + 22x + 3x2 Combine like terms: 11x + 22x = 33x 50 + 33x + x2 + 3x2 = -62 + -22x + -3x2 + 62 + 22x + 3x2 Combine like terms: x2 + 3x2 = 4x2 50 + 33x + 4x2 = -62 + -22x + -3x2 + 62 + 22x + 3x2 Reorder the terms: 50 + 33x + 4x2 = -62 + 62 + -22x + 22x + -3x2 + 3x2 Combine like terms: -62 + 62 = 0 50 + 33x + 4x2 = 0 + -22x + 22x + -3x2 + 3x2 50 + 33x + 4x2 = -22x + 22x + -3x2 + 3x2 Combine like terms: -22x + 22x = 0 50 + 33x + 4x2 = 0 + -3x2 + 3x2 50 + 33x + 4x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 50 + 33x + 4x2 = 0 Factor a trinomial. (25 + 4x)(2 + x) = 0Subproblem 1
Set the factor '(25 + 4x)' equal to zero and attempt to solve: Simplifying 25 + 4x = 0 Solving 25 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 4x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4x = 0 + -25 4x = 0 + -25 Combine like terms: 0 + -25 = -25 4x = -25 Divide each side by '4'. x = -6.25 Simplifying x = -6.25Subproblem 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 = -2Solution
x = {-6.25, -2}
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