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Simplifying x2 = 5(x + 360) Reorder the terms: x2 = 5(360 + x) x2 = (360 * 5 + x * 5) x2 = (1800 + 5x) Solving x2 = 1800 + 5x Solving for variable 'x'. Reorder the terms: -1800 + -5x + x2 = 1800 + 5x + -1800 + -5x Reorder the terms: -1800 + -5x + x2 = 1800 + -1800 + 5x + -5x Combine like terms: 1800 + -1800 = 0 -1800 + -5x + x2 = 0 + 5x + -5x -1800 + -5x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -1800 + -5x + x2 = 0 Factor a trinomial. (-40 + -1x)(45 + -1x) = 0Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve: Simplifying -40 + -1x = 0 Solving -40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 0 + 40 -1x = 0 + 40 Combine like terms: 0 + 40 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40Subproblem 2
Set the factor '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45Solution
x = {-40, 45}
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