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Simplifying 2x3(3x2 + -10) = 0 Reorder the terms: 2x3(-10 + 3x2) = 0 (-10 * 2x3 + 3x2 * 2x3) = 0 (-20x3 + 6x5) = 0 Solving -20x3 + 6x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x3'. 2x3(-10 + 3x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-10 + 3x2)' equal to zero and attempt to solve: Simplifying -10 + 3x2 = 0 Solving -10 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x2 = 0 + 10 3x2 = 0 + 10 Combine like terms: 0 + 10 = 10 3x2 = 10 Divide each side by '3'. x2 = 3.333333333 Simplifying x2 = 3.333333333 Take the square root of each side: x = {-1.825741858, 1.825741858}Solution
x = {-1.825741858, 1.825741858}
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