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Simplifying x3 + x2 + -4x + 3 = x(x2 + -1) + 21 Reorder the terms: 3 + -4x + x2 + x3 = x(x2 + -1) + 21 Reorder the terms: 3 + -4x + x2 + x3 = x(-1 + x2) + 21 3 + -4x + x2 + x3 = (-1 * x + x2 * x) + 21 3 + -4x + x2 + x3 = (-1x + x3) + 21 Reorder the terms: 3 + -4x + x2 + x3 = 21 + -1x + x3 Add '-1x3' to each side of the equation. 3 + -4x + x2 + x3 + -1x3 = 21 + -1x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 3 + -4x + x2 + 0 = 21 + -1x + x3 + -1x3 3 + -4x + x2 = 21 + -1x + x3 + -1x3 Combine like terms: x3 + -1x3 = 0 3 + -4x + x2 = 21 + -1x + 0 3 + -4x + x2 = 21 + -1x Solving 3 + -4x + x2 = 21 + -1x Solving for variable 'x'. Reorder the terms: 3 + -21 + -4x + x + x2 = 21 + -1x + -21 + x Combine like terms: 3 + -21 = -18 -18 + -4x + x + x2 = 21 + -1x + -21 + x Combine like terms: -4x + x = -3x -18 + -3x + x2 = 21 + -1x + -21 + x Reorder the terms: -18 + -3x + x2 = 21 + -21 + -1x + x Combine like terms: 21 + -21 = 0 -18 + -3x + x2 = 0 + -1x + x -18 + -3x + x2 = -1x + x Combine like terms: -1x + x = 0 -18 + -3x + x2 = 0 Factor a trinomial. (-3 + -1x)(6 + -1x) = 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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-3, 6}
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