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Simplifying 25x2 + -4 + 20x + 25x2 + 4 + 20x = 50x + 100 + -200 Reorder the terms: -4 + 4 + 20x + 20x + 25x2 + 25x2 = 50x + 100 + -200 Combine like terms: -4 + 4 = 0 0 + 20x + 20x + 25x2 + 25x2 = 50x + 100 + -200 20x + 20x + 25x2 + 25x2 = 50x + 100 + -200 Combine like terms: 20x + 20x = 40x 40x + 25x2 + 25x2 = 50x + 100 + -200 Combine like terms: 25x2 + 25x2 = 50x2 40x + 50x2 = 50x + 100 + -200 Reorder the terms: 40x + 50x2 = 100 + -200 + 50x Combine like terms: 100 + -200 = -100 40x + 50x2 = -100 + 50x Solving 40x + 50x2 = -100 + 50x Solving for variable 'x'. Reorder the terms: 100 + 40x + -50x + 50x2 = -100 + 50x + 100 + -50x Combine like terms: 40x + -50x = -10x 100 + -10x + 50x2 = -100 + 50x + 100 + -50x Reorder the terms: 100 + -10x + 50x2 = -100 + 100 + 50x + -50x Combine like terms: -100 + 100 = 0 100 + -10x + 50x2 = 0 + 50x + -50x 100 + -10x + 50x2 = 50x + -50x Combine like terms: 50x + -50x = 0 100 + -10x + 50x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(10 + -1x + 5x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(10 + -1x + 5x2)' equal to zero and attempt to solve: Simplifying 10 + -1x + 5x2 = 0 Solving 10 + -1x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2 + -0.2x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -0.2x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -0.2x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -0.2x + x2 = 0 + -2 -0.2x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -0.2x + x2 = -2 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 = -2 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -2 + 0.01 Combine like terms: -2 + 0.01 = -1.99 0.01 + -0.2x + x2 = -1.99 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -1.99 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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