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Simplifying 4 + 7x + -3x2 = -22 Solving 4 + 7x + -3x2 = -22 Solving for variable 'x'. Reorder the terms: 4 + 22 + 7x + -3x2 = -22 + 22 Combine like terms: 4 + 22 = 26 26 + 7x + -3x2 = -22 + 22 Combine like terms: -22 + 22 = 0 26 + 7x + -3x2 = 0 Factor a trinomial. (13 + -3x)(2 + x) = 0Subproblem 1
Set the factor '(13 + -3x)' equal to zero and attempt to solve: Simplifying 13 + -3x = 0 Solving 13 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 0 + -13 -3x = 0 + -13 Combine like terms: 0 + -13 = -13 -3x = -13 Divide each side by '-3'. x = 4.333333333 Simplifying x = 4.333333333Subproblem 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 = {4.333333333, -2}
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