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Simplifying x3 + 6x3 = 40x Combine like terms: x3 + 6x3 = 7x3 7x3 = 40x Solving 7x3 = 40x Solving for variable 'x'. Reorder the terms: -40x + 7x3 = 40x + -40x Combine like terms: 40x + -40x = 0 -40x + 7x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-40 + 7x2) = 0Subproblem 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 '(-40 + 7x2)' equal to zero and attempt to solve: Simplifying -40 + 7x2 = 0 Solving -40 + 7x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 7x2 = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 7x2 = 0 + 40 7x2 = 0 + 40 Combine like terms: 0 + 40 = 40 7x2 = 40 Divide each side by '7'. x2 = 5.714285714 Simplifying x2 = 5.714285714 Take the square root of each side: x = {-2.390457219, 2.390457219}Solution
x = {0, -2.390457219, 2.390457219}
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