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Simplifying 4X2 + 100X + -336 = 0 Reorder the terms: -336 + 100X + 4X2 = 0 Solving -336 + 100X + 4X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '4'. 4(-84 + 25X + X2) = 0 Factor a trinomial. 4((-28 + -1X)(3 + -1X)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-28 + -1X)' equal to zero and attempt to solve: Simplifying -28 + -1X = 0 Solving -28 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -1X = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -1X = 0 + 28 -1X = 0 + 28 Combine like terms: 0 + 28 = 28 -1X = 28 Divide each side by '-1'. X = -28 Simplifying X = -28Subproblem 2
Set the factor '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 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 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Solution
X = {-28, 3}
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