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Simplifying 2x2 + 4 = 40 + -21x Reorder the terms: 4 + 2x2 = 40 + -21x Solving 4 + 2x2 = 40 + -21x Solving for variable 'x'. Reorder the terms: 4 + -40 + 21x + 2x2 = 40 + -21x + -40 + 21x Combine like terms: 4 + -40 = -36 -36 + 21x + 2x2 = 40 + -21x + -40 + 21x Reorder the terms: -36 + 21x + 2x2 = 40 + -40 + -21x + 21x Combine like terms: 40 + -40 = 0 -36 + 21x + 2x2 = 0 + -21x + 21x -36 + 21x + 2x2 = -21x + 21x Combine like terms: -21x + 21x = 0 -36 + 21x + 2x2 = 0 Factor a trinomial. (-12 + -1x)(3 + -2x) = 0Subproblem 1
Set the factor '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-12, 1.5}
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