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Simplifying (7 + -1x)(10 + x) = 0 Multiply (7 + -1x) * (10 + x) (7(10 + x) + -1x * (10 + x)) = 0 ((10 * 7 + x * 7) + -1x * (10 + x)) = 0 ((70 + 7x) + -1x * (10 + x)) = 0 (70 + 7x + (10 * -1x + x * -1x)) = 0 (70 + 7x + (-10x + -1x2)) = 0 Combine like terms: 7x + -10x = -3x (70 + -3x + -1x2) = 0 Solving 70 + -3x + -1x2 = 0 Solving for variable 'x'. 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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