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Simplifying 36X2 + 8X + -28 = 0 Reorder the terms: -28 + 8X + 36X2 = 0 Solving -28 + 8X + 36X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(-7 + 2X + 9X2) = 0 Factor a trinomial. 4((-1 + -1X)(7 + -9X)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -1X)' equal to zero and attempt to solve: Simplifying -1 + -1X = 0 Solving -1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1X = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1X = 0 + 1 -1X = 0 + 1 Combine like terms: 0 + 1 = 1 -1X = 1 Divide each side by '-1'. X = -1 Simplifying X = -1Subproblem 2
Set the factor '(7 + -9X)' equal to zero and attempt to solve: Simplifying 7 + -9X = 0 Solving 7 + -9X = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9X = 0 + -7 -9X = 0 + -7 Combine like terms: 0 + -7 = -7 -9X = -7 Divide each side by '-9'. X = 0.7777777778 Simplifying X = 0.7777777778Solution
X = {-1, 0.7777777778}
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