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Simplifying (10x2 + x + 6)(-3x3 + x2) = 0 Reorder the terms: (6 + x + 10x2)(-3x3 + x2) = 0 Reorder the terms: (6 + x + 10x2)(x2 + -3x3) = 0 Multiply (6 + x + 10x2) * (x2 + -3x3) (6(x2 + -3x3) + x(x2 + -3x3) + 10x2 * (x2 + -3x3)) = 0 ((x2 * 6 + -3x3 * 6) + x(x2 + -3x3) + 10x2 * (x2 + -3x3)) = 0 ((6x2 + -18x3) + x(x2 + -3x3) + 10x2 * (x2 + -3x3)) = 0 (6x2 + -18x3 + (x2 * x + -3x3 * x) + 10x2 * (x2 + -3x3)) = 0 (6x2 + -18x3 + (x3 + -3x4) + 10x2 * (x2 + -3x3)) = 0 (6x2 + -18x3 + x3 + -3x4 + (x2 * 10x2 + -3x3 * 10x2)) = 0 (6x2 + -18x3 + x3 + -3x4 + (10x4 + -30x5)) = 0 Combine like terms: -18x3 + x3 = -17x3 (6x2 + -17x3 + -3x4 + 10x4 + -30x5) = 0 Combine like terms: -3x4 + 10x4 = 7x4 (6x2 + -17x3 + 7x4 + -30x5) = 0 Solving 6x2 + -17x3 + 7x4 + -30x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(6 + -17x + 7x2 + -30x3) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(6 + -17x + 7x2 + -30x3)' equal to zero and attempt to solve: Simplifying 6 + -17x + 7x2 + -30x3 = 0 Solving 6 + -17x + 7x2 + -30x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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