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Simplifying -4x2 + 5 = 3(2x + 1) + 2 Reorder the terms: 5 + -4x2 = 3(2x + 1) + 2 Reorder the terms: 5 + -4x2 = 3(1 + 2x) + 2 5 + -4x2 = (1 * 3 + 2x * 3) + 2 5 + -4x2 = (3 + 6x) + 2 Reorder the terms: 5 + -4x2 = 3 + 2 + 6x Combine like terms: 3 + 2 = 5 5 + -4x2 = 5 + 6x Add '-5' to each side of the equation. 5 + -5 + -4x2 = 5 + -5 + 6x Combine like terms: 5 + -5 = 0 0 + -4x2 = 5 + -5 + 6x -4x2 = 5 + -5 + 6x Combine like terms: 5 + -5 = 0 -4x2 = 0 + 6x -4x2 = 6x Solving -4x2 = 6x Solving for variable 'x'. Reorder the terms: -6x + -4x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -6x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(3 + 2x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -1.5}
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