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Simplifying -5x20 + -7x10 = 15 Reorder the terms: -7x10 + -5x20 = 15 Solving -7x10 + -5x20 = 15 Solving for variable 'x'. Reorder the terms: -15 + -7x10 + -5x20 = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -7x10 + -5x20 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 7x10 + 5x20) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + 7x10 + 5x20)' equal to zero and attempt to solve: Simplifying 15 + 7x10 + 5x20 = 0 Solving 15 + 7x10 + 5x20 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3 + 1.4x10 + x20 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + 1.4x10 + -3 + x20 = 0 + -3 Reorder the terms: 3 + -3 + 1.4x10 + x20 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 1.4x10 + x20 = 0 + -3 1.4x10 + x20 = 0 + -3 Combine like terms: 0 + -3 = -3 1.4x10 + x20 = -3 The x term is 1.4x10. Take half its coefficient (0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. 1.4x10 + 0.49 + x20 = -3 + 0.49 Reorder the terms: 0.49 + 1.4x10 + x20 = -3 + 0.49 Combine like terms: -3 + 0.49 = -2.51 0.49 + 1.4x10 + x20 = -2.51 Factor a perfect square on the left side: (x10 + 0.7)(x10 + 0.7) = -2.51 Can't calculate square root of the right side. 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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