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Simplifying 24x2 = 35x + 49 Reorder the terms: 24x2 = 49 + 35x Solving 24x2 = 49 + 35x Solving for variable 'x'. Reorder the terms: -49 + -35x + 24x2 = 49 + 35x + -49 + -35x Reorder the terms: -49 + -35x + 24x2 = 49 + -49 + 35x + -35x Combine like terms: 49 + -49 = 0 -49 + -35x + 24x2 = 0 + 35x + -35x -49 + -35x + 24x2 = 35x + -35x Combine like terms: 35x + -35x = 0 -49 + -35x + 24x2 = 0 Factor a trinomial. (-7 + -8x)(7 + -3x) = 0Subproblem 1
Set the factor '(-7 + -8x)' equal to zero and attempt to solve: Simplifying -7 + -8x = 0 Solving -7 + -8x = 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 + -8x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 0 + 7 -8x = 0 + 7 Combine like terms: 0 + 7 = 7 -8x = 7 Divide each side by '-8'. x = -0.875 Simplifying x = -0.875Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {-0.875, 2.333333333}
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