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Simplifying 2(x2 + 20) = 21x Reorder the terms: 2(20 + x2) = 21x (20 * 2 + x2 * 2) = 21x (40 + 2x2) = 21x Solving 40 + 2x2 = 21x Solving for variable 'x'. Reorder the terms: 40 + -21x + 2x2 = 21x + -21x Combine like terms: 21x + -21x = 0 40 + -21x + 2x2 = 0 Factor a trinomial. (5 + -2x)(8 + -1x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {2.5, 8}
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