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Simplifying -6x2(4x3 + 7) = 0 Reorder the terms: -6x2(7 + 4x3) = 0 (7 * -6x2 + 4x3 * -6x2) = 0 (-42x2 + -24x5) = 0 Solving -42x2 + -24x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-6x2'. -6x2(7 + 4x3) = 0 Ignore the factor -6.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 '(7 + 4x3)' equal to zero and attempt to solve: Simplifying 7 + 4x3 = 0 Solving 7 + 4x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4x3 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x3 = 0 + -7 4x3 = 0 + -7 Combine like terms: 0 + -7 = -7 4x3 = -7 Divide each side by '4'. x3 = -1.75 Simplifying x3 = -1.75 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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