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Simplifying x + -7 = 3x2 + 5x + -22 Reorder the terms: -7 + x = 3x2 + 5x + -22 Reorder the terms: -7 + x = -22 + 5x + 3x2 Solving -7 + x = -22 + 5x + 3x2 Solving for variable 'x'. Reorder the terms: -7 + 22 + x + -5x + -3x2 = -22 + 5x + 3x2 + 22 + -5x + -3x2 Combine like terms: -7 + 22 = 15 15 + x + -5x + -3x2 = -22 + 5x + 3x2 + 22 + -5x + -3x2 Combine like terms: x + -5x = -4x 15 + -4x + -3x2 = -22 + 5x + 3x2 + 22 + -5x + -3x2 Reorder the terms: 15 + -4x + -3x2 = -22 + 22 + 5x + -5x + 3x2 + -3x2 Combine like terms: -22 + 22 = 0 15 + -4x + -3x2 = 0 + 5x + -5x + 3x2 + -3x2 15 + -4x + -3x2 = 5x + -5x + 3x2 + -3x2 Combine like terms: 5x + -5x = 0 15 + -4x + -3x2 = 0 + 3x2 + -3x2 15 + -4x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 15 + -4x + -3x2 = 0 Factor a trinomial. (5 + -3x)(3 + x) = 0Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {1.666666667, -3}
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