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Simplifying 70 = 2x + x2 + x Reorder the terms: 70 = 2x + x + x2 Combine like terms: 2x + x = 3x 70 = 3x + x2 Solving 70 = 3x + x2 Solving for variable 'x'. Reorder the terms: 70 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 70 + -3x + -1x2 = 0 + x2 + -1x2 70 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 70 + -3x + -1x2 = 0 Factor a trinomial. (7 + -1x)(10 + x) = 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {7, -10}
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