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Simplifying 24((x2) + -1) = 55x 24(x2 + -1) = 55x Reorder the terms: 24(-1 + x2) = 55x (-1 * 24 + x2 * 24) = 55x (-24 + 24x2) = 55x Solving -24 + 24x2 = 55x Solving for variable 'x'. Reorder the terms: -24 + -55x + 24x2 = 55x + -55x Combine like terms: 55x + -55x = 0 -24 + -55x + 24x2 = 0 Factor a trinomial. (-3 + -8x)(8 + -3x) = 0Subproblem 1
Set the factor '(-3 + -8x)' equal to zero and attempt to solve: Simplifying -3 + -8x = 0 Solving -3 + -8x = 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 + -8x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 0 + 3 -8x = 0 + 3 Combine like terms: 0 + 3 = 3 -8x = 3 Divide each side by '-8'. x = -0.375 Simplifying x = -0.375Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 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 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667Solution
x = {-0.375, 2.666666667}
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