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Simplifying 11070 = x2 + -10x + 70 Reorder the terms: 11070 = 70 + -10x + x2 Solving 11070 = 70 + -10x + x2 Solving for variable 'x'. Combine like terms: 11070 + -70 = 11000 11000 + 10x + -1x2 = 70 + -10x + x2 + -70 + 10x + -1x2 Reorder the terms: 11000 + 10x + -1x2 = 70 + -70 + -10x + 10x + x2 + -1x2 Combine like terms: 70 + -70 = 0 11000 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2 11000 + 10x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 11000 + 10x + -1x2 = 0 + x2 + -1x2 11000 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 11000 + 10x + -1x2 = 0 Factor a trinomial. (110 + -1x)(100 + x) = 0Subproblem 1
Set the factor '(110 + -1x)' equal to zero and attempt to solve: Simplifying 110 + -1x = 0 Solving 110 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + -1x = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -1x = 0 + -110 -1x = 0 + -110 Combine like terms: 0 + -110 = -110 -1x = -110 Divide each side by '-1'. x = 110 Simplifying x = 110Subproblem 2
Set the factor '(100 + x)' equal to zero and attempt to solve: Simplifying 100 + x = 0 Solving 100 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + x = 0 + -100 x = 0 + -100 Combine like terms: 0 + -100 = -100 x = -100 Simplifying x = -100Solution
x = {110, -100}
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