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Simplifying -2X2 + 14X + 196 = 0 Reorder the terms: 196 + 14X + -2X2 = 0 Solving 196 + 14X + -2X2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2'. 2(98 + 7X + -1X2) = 0 Factor a trinomial. 2((14 + -1X)(7 + X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(14 + -1X)' equal to zero and attempt to solve: Simplifying 14 + -1X = 0 Solving 14 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1X = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1X = 0 + -14 -1X = 0 + -14 Combine like terms: 0 + -14 = -14 -1X = -14 Divide each side by '-1'. X = 14 Simplifying X = 14Subproblem 2
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 = {14, -7}
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