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Simplifying 5x7(3x + 8) = 0 Reorder the terms: 5x7(8 + 3x) = 0 (8 * 5x7 + 3x * 5x7) = 0 (40x7 + 15x8) = 0 Solving 40x7 + 15x8 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x7'. 5x7(8 + 3x) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x7' equal to zero and attempt to solve: Simplifying x7 = 0 Solving x7 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x7 = 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 '(8 + 3x)' equal to zero and attempt to solve: Simplifying 8 + 3x = 0 Solving 8 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 0 + -8 3x = 0 + -8 Combine like terms: 0 + -8 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667Solution
x = {-2.666666667}
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