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Simplifying 1500 = 750(1 + x10) 1500 = (1 * 750 + x10 * 750) 1500 = (750 + 750x10) Solving 1500 = 750 + 750x10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-750x10' to each side of the equation. 1500 + -750x10 = 750 + 750x10 + -750x10 Combine like terms: 750x10 + -750x10 = 0 1500 + -750x10 = 750 + 0 1500 + -750x10 = 750 Add '-1500' to each side of the equation. 1500 + -1500 + -750x10 = 750 + -1500 Combine like terms: 1500 + -1500 = 0 0 + -750x10 = 750 + -1500 -750x10 = 750 + -1500 Combine like terms: 750 + -1500 = -750 -750x10 = -750 Divide each side by '-750'. x10 = 1 Simplifying x10 = 1 Reorder the terms: -1 + x10 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + x10 = 0 Factor a difference between two squares. (1 + x5)(-1 + x5) = 0Subproblem 1
Set the factor '(1 + x5)' equal to zero and attempt to solve: Simplifying 1 + x5 = 0 Solving 1 + x5 = 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 + x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x5 = 0 + -1 x5 = 0 + -1 Combine like terms: 0 + -1 = -1 x5 = -1 Simplifying x5 = -1 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 '(-1 + x5)' equal to zero and attempt to solve: Simplifying -1 + x5 = 0 Solving -1 + x5 = 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 + x5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x5 = 0 + 1 x5 = 0 + 1 Combine like terms: 0 + 1 = 1 x5 = 1 Simplifying x5 = 1 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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