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Simplifying 32x11 + 64x7 + 24x3 = 0 Reorder the terms: 24x3 + 64x7 + 32x11 = 0 Solving 24x3 + 64x7 + 32x11 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '8x3'. 8x3(3 + 8x4 + 4x8) = 0 Factor a trinomial. 8x3((3 + 2x4)(1 + 2x4)) = 0 Ignore the factor 8.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 '(3 + 2x4)' equal to zero and attempt to solve: Simplifying 3 + 2x4 = 0 Solving 3 + 2x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x4 = 0 + -3 2x4 = 0 + -3 Combine like terms: 0 + -3 = -3 2x4 = -3 Divide each side by '2'. x4 = -1.5 Simplifying x4 = -1.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + 2x4)' equal to zero and attempt to solve: Simplifying 1 + 2x4 = 0 Solving 1 + 2x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x4 = 0 + -1 2x4 = 0 + -1 Combine like terms: 0 + -1 = -1 2x4 = -1 Divide each side by '2'. x4 = -0.5 Simplifying x4 = -0.5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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