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Simplifying 26 = 5x2 + 7x + 2 Reorder the terms: 26 = 2 + 7x + 5x2 Solving 26 = 2 + 7x + 5x2 Solving for variable 'x'. Combine like terms: 26 + -2 = 24 24 + -7x + -5x2 = 2 + 7x + 5x2 + -2 + -7x + -5x2 Reorder the terms: 24 + -7x + -5x2 = 2 + -2 + 7x + -7x + 5x2 + -5x2 Combine like terms: 2 + -2 = 0 24 + -7x + -5x2 = 0 + 7x + -7x + 5x2 + -5x2 24 + -7x + -5x2 = 7x + -7x + 5x2 + -5x2 Combine like terms: 7x + -7x = 0 24 + -7x + -5x2 = 0 + 5x2 + -5x2 24 + -7x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 24 + -7x + -5x2 = 0 Factor a trinomial. (8 + -5x)(3 + x) = 0Subproblem 1
Set the factor '(8 + -5x)' equal to zero and attempt to solve: Simplifying 8 + -5x = 0 Solving 8 + -5x = 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 + -5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 0 + -8 -5x = 0 + -8 Combine like terms: 0 + -8 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {1.6, -3}
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