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Simplifying 5x + 10 + x2 + 2x = 40 Reorder the terms: 10 + 5x + 2x + x2 = 40 Combine like terms: 5x + 2x = 7x 10 + 7x + x2 = 40 Solving 10 + 7x + x2 = 40 Solving for variable 'x'. Reorder the terms: 10 + -40 + 7x + x2 = 40 + -40 Combine like terms: 10 + -40 = -30 -30 + 7x + x2 = 40 + -40 Combine like terms: 40 + -40 = 0 -30 + 7x + x2 = 0 Factor a trinomial. (-10 + -1x)(3 + -1x) = 0Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 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 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. 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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