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Simplifying x(3 + -1x) + 7(3 + -1x) = 0 (3 * x + -1x * x) + 7(3 + -1x) = 0 (3x + -1x2) + 7(3 + -1x) = 0 3x + -1x2 + (3 * 7 + -1x * 7) = 0 3x + -1x2 + (21 + -7x) = 0 Reorder the terms: 21 + 3x + -7x + -1x2 = 0 Combine like terms: 3x + -7x = -4x 21 + -4x + -1x2 = 0 Solving 21 + -4x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(7 + x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 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 = {3, -7}
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