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Simplifying 6x3 + 9x3 = 42x Combine like terms: 6x3 + 9x3 = 15x3 15x3 = 42x Solving 15x3 = 42x Solving for variable 'x'. Reorder the terms: -42x + 15x3 = 42x + -42x Combine like terms: 42x + -42x = 0 -42x + 15x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-14 + 5x2) = 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 '(-14 + 5x2)' equal to zero and attempt to solve: Simplifying -14 + 5x2 = 0 Solving -14 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5x2 = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 5x2 = 0 + 14 5x2 = 0 + 14 Combine like terms: 0 + 14 = 14 5x2 = 14 Divide each side by '5'. x2 = 2.8 Simplifying x2 = 2.8 Take the square root of each side: x = {-1.673320053, 1.673320053}Solution
x = {0, -1.673320053, 1.673320053}
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