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Simplifying -4x * x = 24x + 11 Multiply x * x -4x2 = 24x + 11 Reorder the terms: -4x2 = 11 + 24x Solving -4x2 = 11 + 24x Solving for variable 'x'. Reorder the terms: -11 + -24x + -4x2 = 11 + 24x + -11 + -24x Reorder the terms: -11 + -24x + -4x2 = 11 + -11 + 24x + -24x Combine like terms: 11 + -11 = 0 -11 + -24x + -4x2 = 0 + 24x + -24x -11 + -24x + -4x2 = 24x + -24x Combine like terms: 24x + -24x = 0 -11 + -24x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(11 + 24x + 4x2) = 0 Factor a trinomial. -1((11 + 2x)(1 + 2x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(11 + 2x)' equal to zero and attempt to solve: Simplifying 11 + 2x = 0 Solving 11 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2x = 0 + -11 2x = 0 + -11 Combine like terms: 0 + -11 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-5.5, -0.5}
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