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Simplifying (x2 + -6) + (4 + -7x) + 2 = 0 Reorder the terms: (-6 + x2) + (4 + -7x) + 2 = 0 Remove parenthesis around (-6 + x2) -6 + x2 + (4 + -7x) + 2 = 0 Remove parenthesis around (4 + -7x) -6 + x2 + 4 + -7x + 2 = 0 Reorder the terms: -6 + 4 + 2 + -7x + x2 = 0 Combine like terms: -6 + 4 = -2 -2 + 2 + -7x + x2 = 0 Combine like terms: -2 + 2 = 0 0 + -7x + x2 = 0 -7x + x2 = 0 Solving -7x + x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-7 + x) = 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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Solution
x = {0, 7}
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