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Simplifying 2X2 + -28X = -98 Reorder the terms: -28X + 2X2 = -98 Solving -28X + 2X2 = -98 Solving for variable 'X'. Reorder the terms: 98 + -28X + 2X2 = -98 + 98 Combine like terms: -98 + 98 = 0 98 + -28X + 2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(49 + -14X + X2) = 0 Factor a trinomial. 2((7 + -1X)(7 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 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 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Subproblem 2
Set the factor '(7 + -1X)' equal to zero and attempt to solve: Simplifying 7 + -1X = 0 Solving 7 + -1X = 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 + -1X = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1X = 0 + -7 -1X = 0 + -7 Combine like terms: 0 + -7 = -7 -1X = -7 Divide each side by '-1'. X = 7 Simplifying X = 7Solution
X = {7, 7}
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