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Simplifying -2x + 10x2 + 5 = -5 Reorder the terms: 5 + -2x + 10x2 = -5 Solving 5 + -2x + 10x2 = -5 Solving for variable 'x'. Reorder the terms: 5 + 5 + -2x + 10x2 = -5 + 5 Combine like terms: 5 + 5 = 10 10 + -2x + 10x2 = -5 + 5 Combine like terms: -5 + 5 = 0 10 + -2x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + -1x + 5x2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1x + 5x2)' equal to zero and attempt to solve: Simplifying 5 + -1x + 5x2 = 0 Solving 5 + -1x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + -0.2x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2x + x2 = 0 + -1 -0.2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.2x + x2 = -1 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -1 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -1 + 0.01 Combine like terms: -1 + 0.01 = -0.99 0.01 + -0.2x + x2 = -0.99 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.99 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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