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Simplifying 25x2 + -4 + 20x + 25x2 + 4 + 20x = 50x + 100x + -200 Reorder the terms: -4 + 4 + 20x + 20x + 25x2 + 25x2 = 50x + 100x + -200 Combine like terms: -4 + 4 = 0 0 + 20x + 20x + 25x2 + 25x2 = 50x + 100x + -200 20x + 20x + 25x2 + 25x2 = 50x + 100x + -200 Combine like terms: 20x + 20x = 40x 40x + 25x2 + 25x2 = 50x + 100x + -200 Combine like terms: 25x2 + 25x2 = 50x2 40x + 50x2 = 50x + 100x + -200 Reorder the terms: 40x + 50x2 = -200 + 50x + 100x Combine like terms: 50x + 100x = 150x 40x + 50x2 = -200 + 150x Solving 40x + 50x2 = -200 + 150x Solving for variable 'x'. Reorder the terms: 200 + 40x + -150x + 50x2 = -200 + 150x + 200 + -150x Combine like terms: 40x + -150x = -110x 200 + -110x + 50x2 = -200 + 150x + 200 + -150x Reorder the terms: 200 + -110x + 50x2 = -200 + 200 + 150x + -150x Combine like terms: -200 + 200 = 0 200 + -110x + 50x2 = 0 + 150x + -150x 200 + -110x + 50x2 = 150x + -150x Combine like terms: 150x + -150x = 0 200 + -110x + 50x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(20 + -11x + 5x2) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(20 + -11x + 5x2)' equal to zero and attempt to solve: Simplifying 20 + -11x + 5x2 = 0 Solving 20 + -11x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4 + -2.2x + x2 = 0 Move the constant term to the right: Add '-4' to each side of the equation. 4 + -2.2x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + -2.2x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.2x + x2 = 0 + -4 -2.2x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 -2.2x + x2 = -4 The x term is -2.2x. Take half its coefficient (-1.1). Square it (1.21) and add it to both sides. Add '1.21' to each side of the equation. -2.2x + 1.21 + x2 = -4 + 1.21 Reorder the terms: 1.21 + -2.2x + x2 = -4 + 1.21 Combine like terms: -4 + 1.21 = -2.79 1.21 + -2.2x + x2 = -2.79 Factor a perfect square on the left side: (x + -1.1)(x + -1.1) = -2.79 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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