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Simplifying 21x2 = -11x + 40 Reorder the terms: 21x2 = 40 + -11x Solving 21x2 = 40 + -11x Solving for variable 'x'. Reorder the terms: -40 + 11x + 21x2 = 40 + -11x + -40 + 11x Reorder the terms: -40 + 11x + 21x2 = 40 + -40 + -11x + 11x Combine like terms: 40 + -40 = 0 -40 + 11x + 21x2 = 0 + -11x + 11x -40 + 11x + 21x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -40 + 11x + 21x2 = 0 Factor a trinomial. (-5 + -3x)(8 + -7x) = 0Subproblem 1
Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 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 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 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 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-1.666666667, 1.142857143}
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