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Simplifying -98 = -1x2 + 7x Reorder the terms: -98 = 7x + -1x2 Solving -98 = 7x + -1x2 Solving for variable 'x'. Reorder the terms: -98 + -7x + x2 = 7x + -7x + -1x2 + x2 Combine like terms: 7x + -7x = 0 -98 + -7x + x2 = 0 + -1x2 + x2 -98 + -7x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -98 + -7x + x2 = 0 Factor a trinomial. (-7 + -1x)(14 + -1x) = 0Subproblem 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 '(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 = 14Solution
x = {-7, 14}
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