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Simplifying 21x2 = 59x + -40 Reorder the terms: 21x2 = -40 + 59x Solving 21x2 = -40 + 59x Solving for variable 'x'. Reorder the terms: 40 + -59x + 21x2 = -40 + 59x + 40 + -59x Reorder the terms: 40 + -59x + 21x2 = -40 + 40 + 59x + -59x Combine like terms: -40 + 40 = 0 40 + -59x + 21x2 = 0 + 59x + -59x 40 + -59x + 21x2 = 59x + -59x Combine like terms: 59x + -59x = 0 40 + -59x + 21x2 = 0 Factor a trinomial. (8 + -7x)(5 + -3x) = 0Subproblem 1
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 = 1.142857143Subproblem 2
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 = 1.666666667Solution
x = {1.142857143, 1.666666667}
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