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Simplifying -7X2 + 44X + -50 = -4X2 + 29X + -32 Reorder the terms: -50 + 44X + -7X2 = -4X2 + 29X + -32 Reorder the terms: -50 + 44X + -7X2 = -32 + 29X + -4X2 Solving -50 + 44X + -7X2 = -32 + 29X + -4X2 Solving for variable 'X'. Reorder the terms: -50 + 32 + 44X + -29X + -7X2 + 4X2 = -32 + 29X + -4X2 + 32 + -29X + 4X2 Combine like terms: -50 + 32 = -18 -18 + 44X + -29X + -7X2 + 4X2 = -32 + 29X + -4X2 + 32 + -29X + 4X2 Combine like terms: 44X + -29X = 15X -18 + 15X + -7X2 + 4X2 = -32 + 29X + -4X2 + 32 + -29X + 4X2 Combine like terms: -7X2 + 4X2 = -3X2 -18 + 15X + -3X2 = -32 + 29X + -4X2 + 32 + -29X + 4X2 Reorder the terms: -18 + 15X + -3X2 = -32 + 32 + 29X + -29X + -4X2 + 4X2 Combine like terms: -32 + 32 = 0 -18 + 15X + -3X2 = 0 + 29X + -29X + -4X2 + 4X2 -18 + 15X + -3X2 = 29X + -29X + -4X2 + 4X2 Combine like terms: 29X + -29X = 0 -18 + 15X + -3X2 = 0 + -4X2 + 4X2 -18 + 15X + -3X2 = -4X2 + 4X2 Combine like terms: -4X2 + 4X2 = 0 -18 + 15X + -3X2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + 5X + -1X2) = 0 Factor a trinomial. 3((-3 + X)(2 + -1X)) = 0 Ignore the factor 3.Subproblem 1
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 = 3Subproblem 2
Set the factor '(2 + -1X)' equal to zero and attempt to solve: Simplifying 2 + -1X = 0 Solving 2 + -1X = 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 + -1X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1X = 0 + -2 -1X = 0 + -2 Combine like terms: 0 + -2 = -2 -1X = -2 Divide each side by '-1'. X = 2 Simplifying X = 2Solution
X = {3, 2}
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