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Simplifying -0.01x2 + 0.4x + 6.2 = 51.9 Reorder the terms: 6.2 + 0.4x + -0.01x2 = 51.9 Solving 6.2 + 0.4x + -0.01x2 = 51.9 Solving for variable 'x'. Reorder the terms: 6.2 + -51.9 + 0.4x + -0.01x2 = 51.9 + -51.9 Combine like terms: 6.2 + -51.9 = -45.7 -45.7 + 0.4x + -0.01x2 = 51.9 + -51.9 Combine like terms: 51.9 + -51.9 = 0.0 -45.7 + 0.4x + -0.01x2 = 0.0 Begin completing the square. Divide all terms by -0.01 the coefficient of the squared term: Divide each side by '-0.01'. 4570 + -40x + x2 = 0 Move the constant term to the right: Add '-4570' to each side of the equation. 4570 + -40x + -4570 + x2 = 0 + -4570 Reorder the terms: 4570 + -4570 + -40x + x2 = 0 + -4570 Combine like terms: 4570 + -4570 = 0 0 + -40x + x2 = 0 + -4570 -40x + x2 = 0 + -4570 Combine like terms: 0 + -4570 = -4570 -40x + x2 = -4570 The x term is -40x. Take half its coefficient (-20). Square it (400) and add it to both sides. Add '400' to each side of the equation. -40x + 400 + x2 = -4570 + 400 Reorder the terms: 400 + -40x + x2 = -4570 + 400 Combine like terms: -4570 + 400 = -4170 400 + -40x + x2 = -4170 Factor a perfect square on the left side: (x + -20)(x + -20) = -4170 Can't calculate square root of the right side. The solution to this equation could not be determined.
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