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Simplifying 3x(x + 3) + -10x = 4x2 Reorder the terms: 3x(3 + x) + -10x = 4x2 (3 * 3x + x * 3x) + -10x = 4x2 (9x + 3x2) + -10x = 4x2 Reorder the terms: 9x + -10x + 3x2 = 4x2 Combine like terms: 9x + -10x = -1x -1x + 3x2 = 4x2 Solving -1x + 3x2 = 4x2 Solving for variable 'x'. Combine like terms: 3x2 + -4x2 = -1x2 -1x + -1x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -1x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(1 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {0, -1}
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