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Simplifying -5x + -10 + -1x2 = x2 Reorder the terms: -10 + -5x + -1x2 = x2 Solving -10 + -5x + -1x2 = x2 Solving for variable 'x'. Combine like terms: -1x2 + -1x2 = -2x2 -10 + -5x + -2x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -5x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 5x + 2x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(10 + 5x + 2x2)' equal to zero and attempt to solve: Simplifying 10 + 5x + 2x2 = 0 Solving 10 + 5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 5 + 2.5x + x2 = 0 Move the constant term to the right: Add '-5' to each side of the equation. 5 + 2.5x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + 2.5x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2.5x + x2 = 0 + -5 2.5x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 2.5x + x2 = -5 The x term is 2.5x. Take half its coefficient (1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. 2.5x + 1.5625 + x2 = -5 + 1.5625 Reorder the terms: 1.5625 + 2.5x + x2 = -5 + 1.5625 Combine like terms: -5 + 1.5625 = -3.4375 1.5625 + 2.5x + x2 = -3.4375 Factor a perfect square on the left side: (x + 1.25)(x + 1.25) = -3.4375 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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