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Simplifying x2 + 14x + -18 = 10x + 3 Reorder the terms: -18 + 14x + x2 = 10x + 3 Reorder the terms: -18 + 14x + x2 = 3 + 10x Solving -18 + 14x + x2 = 3 + 10x Solving for variable 'x'. Reorder the terms: -18 + -3 + 14x + -10x + x2 = 3 + 10x + -3 + -10x Combine like terms: -18 + -3 = -21 -21 + 14x + -10x + x2 = 3 + 10x + -3 + -10x Combine like terms: 14x + -10x = 4x -21 + 4x + x2 = 3 + 10x + -3 + -10x Reorder the terms: -21 + 4x + x2 = 3 + -3 + 10x + -10x Combine like terms: 3 + -3 = 0 -21 + 4x + x2 = 0 + 10x + -10x -21 + 4x + x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -21 + 4x + x2 = 0 Factor a trinomial. (-7 + -1x)(3 + -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 '(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 = 3Solution
x = {-7, 3}
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