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Simplifying 9x3 + 9x = 30x3 Reorder the terms: 9x + 9x3 = 30x3 Solving 9x + 9x3 = 30x3 Solving for variable 'x'. Combine like terms: 9x3 + -30x3 = -21x3 9x + -21x3 = 30x3 + -30x3 Combine like terms: 30x3 + -30x3 = 0 9x + -21x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(3 + -7x2) = 0 Ignore the factor 3.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 + -7x2)' equal to zero and attempt to solve: Simplifying 3 + -7x2 = 0 Solving 3 + -7x2 = 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 + -7x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x2 = 0 + -3 -7x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -7x2 = -3 Divide each side by '-7'. x2 = 0.4285714286 Simplifying x2 = 0.4285714286 Take the square root of each side: x = {-0.654653671, 0.654653671}Solution
x = {0, -0.654653671, 0.654653671}
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