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Simplifying 7x2 + -8 = -8 + 21x Reorder the terms: -8 + 7x2 = -8 + 21x Add '8' to each side of the equation. -8 + 8 + 7x2 = -8 + 8 + 21x Combine like terms: -8 + 8 = 0 0 + 7x2 = -8 + 8 + 21x 7x2 = -8 + 8 + 21x Combine like terms: -8 + 8 = 0 7x2 = 0 + 21x 7x2 = 21x Solving 7x2 = 21x Solving for variable 'x'. Reorder the terms: -21x + 7x2 = 21x + -21x Combine like terms: 21x + -21x = 0 -21x + 7x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(-3 + x) = 0 Ignore the factor 7.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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3Solution
x = {0, 3}
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