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Simplifying 7x(4x + 9) = x2 * 7 Reorder the terms: 7x(9 + 4x) = x2 * 7 (9 * 7x + 4x * 7x) = x2 * 7 (63x + 28x2) = x2 * 7 Reorder the terms for easier multiplication: 63x + 28x2 = 7x2 Solving 63x + 28x2 = 7x2 Solving for variable 'x'. Combine like terms: 28x2 + -7x2 = 21x2 63x + 21x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 63x + 21x2 = 0 Factor out the Greatest Common Factor (GCF), '21x'. 21x(3 + x) = 0 Ignore the factor 21.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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