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Simplifying 4X2 + -4X + -284 = 4 Reorder the terms: -284 + -4X + 4X2 = 4 Solving -284 + -4X + 4X2 = 4 Solving for variable 'X'. Reorder the terms: -284 + -4 + -4X + 4X2 = 4 + -4 Combine like terms: -284 + -4 = -288 -288 + -4X + 4X2 = 4 + -4 Combine like terms: 4 + -4 = 0 -288 + -4X + 4X2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-72 + -1X + X2) = 0 Factor a trinomial. 4((-8 + -1X)(9 + -1X)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-8 + -1X)' equal to zero and attempt to solve: Simplifying -8 + -1X = 0 Solving -8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1X = 0 + 8 -1X = 0 + 8 Combine like terms: 0 + 8 = 8 -1X = 8 Divide each side by '-1'. X = -8 Simplifying X = -8Subproblem 2
Set the factor '(9 + -1X)' equal to zero and attempt to solve: Simplifying 9 + -1X = 0 Solving 9 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1X = 0 + -9 -1X = 0 + -9 Combine like terms: 0 + -9 = -9 -1X = -9 Divide each side by '-1'. X = 9 Simplifying X = 9Solution
X = {-8, 9}
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