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Simplifying 38x + -3x2 = 4x2 + -24 Reorder the terms: 38x + -3x2 = -24 + 4x2 Solving 38x + -3x2 = -24 + 4x2 Solving for variable 'x'. Reorder the terms: 24 + 38x + -3x2 + -4x2 = -24 + 4x2 + 24 + -4x2 Combine like terms: -3x2 + -4x2 = -7x2 24 + 38x + -7x2 = -24 + 4x2 + 24 + -4x2 Reorder the terms: 24 + 38x + -7x2 = -24 + 24 + 4x2 + -4x2 Combine like terms: -24 + 24 = 0 24 + 38x + -7x2 = 0 + 4x2 + -4x2 24 + 38x + -7x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 24 + 38x + -7x2 = 0 Factor a trinomial. (6 + -1x)(4 + 7x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(4 + 7x)' equal to zero and attempt to solve: Simplifying 4 + 7x = 0 Solving 4 + 7x = 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 + 7x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7x = 0 + -4 7x = 0 + -4 Combine like terms: 0 + -4 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714Solution
x = {6, -0.5714285714}
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