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Simplifying (14x2 + 7x) + 9x2 = 30x2 Reorder the terms: (7x + 14x2) + 9x2 = 30x2 Remove parenthesis around (7x + 14x2) 7x + 14x2 + 9x2 = 30x2 Combine like terms: 14x2 + 9x2 = 23x2 7x + 23x2 = 30x2 Solving 7x + 23x2 = 30x2 Solving for variable 'x'. Combine like terms: 23x2 + -30x2 = -7x2 7x + -7x2 = 30x2 + -30x2 Combine like terms: 30x2 + -30x2 = 0 7x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(1 + -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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 1}
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