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Simplifying 70 = x(x + -3) Reorder the terms: 70 = x(-3 + x) 70 = (-3 * x + x * x) 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. (10 + -1x)(7 + x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 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 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {10, -7}
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