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Simplifying 35x2 = 41x + 24 Reorder the terms: 35x2 = 24 + 41x Solving 35x2 = 24 + 41x Solving for variable 'x'. Reorder the terms: -24 + -41x + 35x2 = 24 + 41x + -24 + -41x Reorder the terms: -24 + -41x + 35x2 = 24 + -24 + 41x + -41x Combine like terms: 24 + -24 = 0 -24 + -41x + 35x2 = 0 + 41x + -41x -24 + -41x + 35x2 = 41x + -41x Combine like terms: 41x + -41x = 0 -24 + -41x + 35x2 = 0 Factor a trinomial. (-3 + -7x)(8 + -5x) = 0Subproblem 1
Set the factor '(-3 + -7x)' equal to zero and attempt to solve: Simplifying -3 + -7x = 0 Solving -3 + -7x = 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 + -7x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7x = 0 + 3 -7x = 0 + 3 Combine like terms: 0 + 3 = 3 -7x = 3 Divide each side by '-7'. x = -0.4285714286 Simplifying x = -0.4285714286Subproblem 2
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 = 1.6Solution
x = {-0.4285714286, 1.6}
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