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Simplifying 7x3(8X2 + -4x + 6) = 0 Reorder the terms: 7x3(6 + 8X2 + -4x) = 0 (6 * 7x3 + 8X2 * 7x3 + -4x * 7x3) = 0 (42x3 + 56x3X2 + -28x4) = 0 Solving 42x3 + 56x3X2 + -28x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '14x3'. 14x3(3 + 4X2 + -2x) = 0 Ignore the factor 14.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 + 4X2 + -2x)' equal to zero and attempt to solve: Simplifying 3 + 4X2 + -2x = 0 Solving 3 + 4X2 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4X2 + -3 + -2x = 0 + -3 Reorder the terms: 3 + -3 + 4X2 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4X2 + -2x = 0 + -3 4X2 + -2x = 0 + -3 Combine like terms: 0 + -3 = -3 4X2 + -2x = -3 Add '-4X2' to each side of the equation. 4X2 + -4X2 + -2x = -3 + -4X2 Combine like terms: 4X2 + -4X2 = 0 0 + -2x = -3 + -4X2 -2x = -3 + -4X2 Divide each side by '-2'. x = 1.5 + 2X2 Simplifying x = 1.5 + 2X2Solution
x = {1.5 + 2X2}
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