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Simplifying 5x + 5 = 30x2 + 15x + 5 Reorder the terms: 5 + 5x = 30x2 + 15x + 5 Reorder the terms: 5 + 5x = 5 + 15x + 30x2 Add '-5' to each side of the equation. 5 + -5 + 5x = 5 + 15x + -5 + 30x2 Combine like terms: 5 + -5 = 0 0 + 5x = 5 + 15x + -5 + 30x2 5x = 5 + 15x + -5 + 30x2 Reorder the terms: 5x = 5 + -5 + 15x + 30x2 Combine like terms: 5 + -5 = 0 5x = 0 + 15x + 30x2 5x = 15x + 30x2 Solving 5x = 15x + 30x2 Solving for variable 'x'. Combine like terms: 5x + -15x = -10x -10x + -30x2 = 15x + 30x2 + -15x + -30x2 Reorder the terms: -10x + -30x2 = 15x + -15x + 30x2 + -30x2 Combine like terms: 15x + -15x = 0 -10x + -30x2 = 0 + 30x2 + -30x2 -10x + -30x2 = 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 -10x + -30x2 = 0 Factor out the Greatest Common Factor (GCF), '-10x'. -10x(1 + 3x) = 0 Ignore the factor -10.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 + 3x)' equal to zero and attempt to solve: Simplifying 1 + 3x = 0 Solving 1 + 3x = 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 + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x = 0 + -1 3x = 0 + -1 Combine like terms: 0 + -1 = -1 3x = -1 Divide each side by '3'. x = -0.3333333333 Simplifying x = -0.3333333333Solution
x = {0, -0.3333333333}
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