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Simplifying 3x2 + 5 = 12x + 5 + 3x Reorder the terms: 5 + 3x2 = 12x + 5 + 3x Reorder the terms: 5 + 3x2 = 5 + 12x + 3x Combine like terms: 12x + 3x = 15x 5 + 3x2 = 5 + 15x Add '-5' to each side of the equation. 5 + -5 + 3x2 = 5 + -5 + 15x Combine like terms: 5 + -5 = 0 0 + 3x2 = 5 + -5 + 15x 3x2 = 5 + -5 + 15x Combine like terms: 5 + -5 = 0 3x2 = 0 + 15x 3x2 = 15x Solving 3x2 = 15x Solving for variable 'x'. Reorder the terms: -15x + 3x2 = 15x + -15x Combine like terms: 15x + -15x = 0 -15x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-5 + x) = 0 Ignore the factor 3.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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