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Simplifying 10x2 + -28x = -98 + 8x2 Reorder the terms: -28x + 10x2 = -98 + 8x2 Solving -28x + 10x2 = -98 + 8x2 Solving for variable 'x'. Reorder the terms: 98 + -28x + 10x2 + -8x2 = -98 + 8x2 + 98 + -8x2 Combine like terms: 10x2 + -8x2 = 2x2 98 + -28x + 2x2 = -98 + 8x2 + 98 + -8x2 Reorder the terms: 98 + -28x + 2x2 = -98 + 98 + 8x2 + -8x2 Combine like terms: -98 + 98 = 0 98 + -28x + 2x2 = 0 + 8x2 + -8x2 98 + -28x + 2x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 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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