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Simplifying (2 + -3x)(2 + 3x) = 4 + x Multiply (2 + -3x) * (2 + 3x) (2(2 + 3x) + -3x * (2 + 3x)) = 4 + x ((2 * 2 + 3x * 2) + -3x * (2 + 3x)) = 4 + x ((4 + 6x) + -3x * (2 + 3x)) = 4 + x (4 + 6x + (2 * -3x + 3x * -3x)) = 4 + x (4 + 6x + (-6x + -9x2)) = 4 + x Combine like terms: 6x + -6x = 0 (4 + 0 + -9x2) = 4 + x (4 + -9x2) = 4 + x Add '-4' to each side of the equation. 4 + -4 + -9x2 = 4 + -4 + x Combine like terms: 4 + -4 = 0 0 + -9x2 = 4 + -4 + x -9x2 = 4 + -4 + x Combine like terms: 4 + -4 = 0 -9x2 = 0 + x -9x2 = x Solving -9x2 = x Solving for variable 'x'. Reorder the terms: -1x + -9x2 = x + -1x Combine like terms: x + -1x = 0 -1x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1 + 9x) = 0 Ignore the factor -1.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 '(1 + 9x)' equal to zero and attempt to solve: Simplifying 1 + 9x = 0 Solving 1 + 9x = 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 + 9x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 0 + -1 9x = 0 + -1 Combine like terms: 0 + -1 = -1 9x = -1 Divide each side by '9'. x = -0.1111111111 Simplifying x = -0.1111111111Solution
x = {0, -0.1111111111}
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