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Simplifying 9x2(x4 + 2) + 3x3(4x3) = 0 Reorder the terms: 9x2(2 + x4) + 3x3(4x3) = 0 (2 * 9x2 + x4 * 9x2) + 3x3(4x3) = 0 (18x2 + 9x6) + 3x3(4x3) = 0 Remove parenthesis around (4x3) 18x2 + 9x6 + 3x3 * 4x3 = 0 Reorder the terms for easier multiplication: 18x2 + 9x6 + 3 * 4x3 * x3 = 0 Multiply 3 * 4 18x2 + 9x6 + 12x3 * x3 = 0 Multiply x3 * x3 18x2 + 9x6 + 12x6 = 0 Combine like terms: 9x6 + 12x6 = 21x6 18x2 + 21x6 = 0 Solving 18x2 + 21x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(6 + 7x4) = 0 Ignore the factor 3.Subproblem 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 + 7x4)' equal to zero and attempt to solve: Simplifying 6 + 7x4 = 0 Solving 6 + 7x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7x4 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7x4 = 0 + -6 7x4 = 0 + -6 Combine like terms: 0 + -6 = -6 7x4 = -6 Divide each side by '7'. x4 = -0.8571428571 Simplifying x4 = -0.8571428571 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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