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Simplifying 15x2 = 41x + -28 Reorder the terms: 15x2 = -28 + 41x Solving 15x2 = -28 + 41x Solving for variable 'x'. Reorder the terms: 28 + -41x + 15x2 = -28 + 41x + 28 + -41x Reorder the terms: 28 + -41x + 15x2 = -28 + 28 + 41x + -41x Combine like terms: -28 + 28 = 0 28 + -41x + 15x2 = 0 + 41x + -41x 28 + -41x + 15x2 = 41x + -41x Combine like terms: 41x + -41x = 0 28 + -41x + 15x2 = 0 Factor a trinomial. (4 + -3x)(7 + -5x) = 0Subproblem 1
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Subproblem 2
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Solution
x = {1.333333333, 1.4}
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