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Simplifying 2x2 + 14x + 49 = 9x2 + -42x + 49 Reorder the terms: 49 + 14x + 2x2 = 9x2 + -42x + 49 Reorder the terms: 49 + 14x + 2x2 = 49 + -42x + 9x2 Add '-49' to each side of the equation. 49 + 14x + -49 + 2x2 = 49 + -42x + -49 + 9x2 Reorder the terms: 49 + -49 + 14x + 2x2 = 49 + -42x + -49 + 9x2 Combine like terms: 49 + -49 = 0 0 + 14x + 2x2 = 49 + -42x + -49 + 9x2 14x + 2x2 = 49 + -42x + -49 + 9x2 Reorder the terms: 14x + 2x2 = 49 + -49 + -42x + 9x2 Combine like terms: 49 + -49 = 0 14x + 2x2 = 0 + -42x + 9x2 14x + 2x2 = -42x + 9x2 Solving 14x + 2x2 = -42x + 9x2 Solving for variable 'x'. Reorder the terms: 14x + 42x + 2x2 + -9x2 = -42x + 9x2 + 42x + -9x2 Combine like terms: 14x + 42x = 56x 56x + 2x2 + -9x2 = -42x + 9x2 + 42x + -9x2 Combine like terms: 2x2 + -9x2 = -7x2 56x + -7x2 = -42x + 9x2 + 42x + -9x2 Reorder the terms: 56x + -7x2 = -42x + 42x + 9x2 + -9x2 Combine like terms: -42x + 42x = 0 56x + -7x2 = 0 + 9x2 + -9x2 56x + -7x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 56x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(8 + -1x) = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {0, 8}
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