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Simplifying 25x2 + -10x + 20 = 0 Reorder the terms: 20 + -10x + 25x2 = 0 Solving 20 + -10x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(4 + -2x + 5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -2x + 5x2)' equal to zero and attempt to solve: Simplifying 4 + -2x + 5x2 = 0 Solving 4 + -2x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 0.8 + -0.4x + x2 = 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + -0.4x + -0.8 + x2 = 0 + -0.8 Reorder the terms: 0.8 + -0.8 + -0.4x + x2 = 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.4x + x2 = 0 + -0.8 -0.4x + x2 = 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 -0.4x + x2 = -0.8 The x term is -0.4x. Take half its coefficient (-0.2). Square it (0.04) and add it to both sides. Add '0.04' to each side of the equation. -0.4x + 0.04 + x2 = -0.8 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -0.8 + 0.04 Combine like terms: -0.8 + 0.04 = -0.76 0.04 + -0.4x + x2 = -0.76 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -0.76 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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