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Simplifying x2 = 3(x + 168) Reorder the terms: x2 = 3(168 + x) x2 = (168 * 3 + x * 3) x2 = (504 + 3x) Solving x2 = 504 + 3x Solving for variable 'x'. Reorder the terms: -504 + -3x + x2 = 504 + 3x + -504 + -3x Reorder the terms: -504 + -3x + x2 = 504 + -504 + 3x + -3x Combine like terms: 504 + -504 = 0 -504 + -3x + x2 = 0 + 3x + -3x -504 + -3x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 -504 + -3x + x2 = 0 Factor a trinomial. (-21 + -1x)(24 + -1x) = 0Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve: Simplifying -21 + -1x = 0 Solving -21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Solution
x = {-21, 24}
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