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Simplifying 6x2 + 34x + -1 = 4x + -1 Reorder the terms: -1 + 34x + 6x2 = 4x + -1 Reorder the terms: -1 + 34x + 6x2 = -1 + 4x Add '1' to each side of the equation. -1 + 34x + 1 + 6x2 = -1 + 1 + 4x Reorder the terms: -1 + 1 + 34x + 6x2 = -1 + 1 + 4x Combine like terms: -1 + 1 = 0 0 + 34x + 6x2 = -1 + 1 + 4x 34x + 6x2 = -1 + 1 + 4x Combine like terms: -1 + 1 = 0 34x + 6x2 = 0 + 4x 34x + 6x2 = 4x Solving 34x + 6x2 = 4x Solving for variable 'x'. Reorder the terms: 34x + -4x + 6x2 = 4x + -4x Combine like terms: 34x + -4x = 30x 30x + 6x2 = 4x + -4x Combine like terms: 4x + -4x = 0 30x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '6x'. 6x(5 + x) = 0 Ignore the factor 6.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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {0, -5}
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