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Simplifying x(x + 3) + 2(x + -7) = 0 Reorder the terms: x(3 + x) + 2(x + -7) = 0 (3 * x + x * x) + 2(x + -7) = 0 (3x + x2) + 2(x + -7) = 0 Reorder the terms: 3x + x2 + 2(-7 + x) = 0 3x + x2 + (-7 * 2 + x * 2) = 0 3x + x2 + (-14 + 2x) = 0 Reorder the terms: -14 + 3x + 2x + x2 = 0 Combine like terms: 3x + 2x = 5x -14 + 5x + x2 = 0 Solving -14 + 5x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -1x)(2 + -1x) = 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 '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-7, 2}
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