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Simplifying 5(x + x + 2 + x + 4) = x(x + 2) + 60 Reorder the terms: 5(2 + 4 + x + x + x) = x(x + 2) + 60 Combine like terms: 2 + 4 = 6 5(6 + x + x + x) = x(x + 2) + 60 Combine like terms: x + x = 2x 5(6 + 2x + x) = x(x + 2) + 60 Combine like terms: 2x + x = 3x 5(6 + 3x) = x(x + 2) + 60 (6 * 5 + 3x * 5) = x(x + 2) + 60 (30 + 15x) = x(x + 2) + 60 Reorder the terms: 30 + 15x = x(2 + x) + 60 30 + 15x = (2 * x + x * x) + 60 30 + 15x = (2x + x2) + 60 Reorder the terms: 30 + 15x = 60 + 2x + x2 Solving 30 + 15x = 60 + 2x + x2 Solving for variable 'x'. Reorder the terms: 30 + -60 + 15x + -2x + -1x2 = 60 + 2x + x2 + -60 + -2x + -1x2 Combine like terms: 30 + -60 = -30 -30 + 15x + -2x + -1x2 = 60 + 2x + x2 + -60 + -2x + -1x2 Combine like terms: 15x + -2x = 13x -30 + 13x + -1x2 = 60 + 2x + x2 + -60 + -2x + -1x2 Reorder the terms: -30 + 13x + -1x2 = 60 + -60 + 2x + -2x + x2 + -1x2 Combine like terms: 60 + -60 = 0 -30 + 13x + -1x2 = 0 + 2x + -2x + x2 + -1x2 -30 + 13x + -1x2 = 2x + -2x + x2 + -1x2 Combine like terms: 2x + -2x = 0 -30 + 13x + -1x2 = 0 + x2 + -1x2 -30 + 13x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -30 + 13x + -1x2 = 0 Factor a trinomial. (-10 + x)(3 + -1x) = 0Subproblem 1
Set the factor '(-10 + x)' equal to zero and attempt to solve: Simplifying -10 + x = 0 Solving -10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + x = 0 + 10 x = 0 + 10 Combine like terms: 0 + 10 = 10 x = 10 Simplifying x = 10Subproblem 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 = {10, 3}
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