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Simplifying 3x2 + 3 = 10x + 3 Reorder the terms: 3 + 3x2 = 10x + 3 Reorder the terms: 3 + 3x2 = 3 + 10x Add '-3' to each side of the equation. 3 + -3 + 3x2 = 3 + -3 + 10x Combine like terms: 3 + -3 = 0 0 + 3x2 = 3 + -3 + 10x 3x2 = 3 + -3 + 10x Combine like terms: 3 + -3 = 0 3x2 = 0 + 10x 3x2 = 10x Solving 3x2 = 10x Solving for variable 'x'. Reorder the terms: -10x + 3x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -10x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-10 + 3x) = 0Subproblem 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 '(-10 + 3x)' equal to zero and attempt to solve: Simplifying -10 + 3x = 0 Solving -10 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 0 + 10 3x = 0 + 10 Combine like terms: 0 + 10 = 10 3x = 10 Divide each side by '3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {0, 3.333333333}
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