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Simplifying -1X4 + -3X3 + 28X2 = 0 Reorder the terms: 28X2 + -3X3 + -1X4 = 0 Solving 28X2 + -3X3 + -1X4 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X2'. X2(28 + -3X + -1X2) = 0 Factor a trinomial. X2((4 + -1X)(7 + X)) = 0Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve: Simplifying X2 = 0 Solving X2 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X2 = 0 Take the square root of each side: X = {0}Subproblem 2
Set the factor '(4 + -1X)' equal to zero and attempt to solve: Simplifying 4 + -1X = 0 Solving 4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1X = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1X = 0 + -4 -1X = 0 + -4 Combine like terms: 0 + -4 = -4 -1X = -4 Divide each side by '-1'. X = 4 Simplifying X = 4Subproblem 3
Set the factor '(7 + X)' equal to zero and attempt to solve: Simplifying 7 + X = 0 Solving 7 + X = 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 + X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + X = 0 + -7 X = 0 + -7 Combine like terms: 0 + -7 = -7 X = -7 Simplifying X = -7Solution
X = {0, 4, -7}
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