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Simplifying x2 = 5(x + 210) Reorder the terms: x2 = 5(210 + x) x2 = (210 * 5 + x * 5) x2 = (1050 + 5x) Solving x2 = 1050 + 5x Solving for variable 'x'. Reorder the terms: -1050 + -5x + x2 = 1050 + 5x + -1050 + -5x Reorder the terms: -1050 + -5x + x2 = 1050 + -1050 + 5x + -5x Combine like terms: 1050 + -1050 = 0 -1050 + -5x + x2 = 0 + 5x + -5x -1050 + -5x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -1050 + -5x + x2 = 0 Factor a trinomial. (-30 + -1x)(35 + -1x) = 0Subproblem 1
Set the factor '(-30 + -1x)' equal to zero and attempt to solve: Simplifying -30 + -1x = 0 Solving -30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1x = 0 + 30 -1x = 0 + 30 Combine like terms: 0 + 30 = 30 -1x = 30 Divide each side by '-1'. x = -30 Simplifying x = -30Subproblem 2
Set the factor '(35 + -1x)' equal to zero and attempt to solve: Simplifying 35 + -1x = 0 Solving 35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 0 + -35 -1x = 0 + -35 Combine like terms: 0 + -35 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35Solution
x = {-30, 35}
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