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Simplifying 0.15x2 + 4x = -400 Reorder the terms: 4x + 0.15x2 = -400 Solving 4x + 0.15x2 = -400 Solving for variable 'x'. Reorder the terms: 400 + 4x + 0.15x2 = -400 + 400 Combine like terms: -400 + 400 = 0 400 + 4x + 0.15x2 = 0 Begin completing the square. Divide all terms by 0.15 the coefficient of the squared term: Divide each side by '0.15'. 2666.666667 + 26.66666667x + x2 = 0 Move the constant term to the right: Add '-2666.666667' to each side of the equation. 2666.666667 + 26.66666667x + -2666.666667 + x2 = 0 + -2666.666667 Reorder the terms: 2666.666667 + -2666.666667 + 26.66666667x + x2 = 0 + -2666.666667 Combine like terms: 2666.666667 + -2666.666667 = 0.000000 0.000000 + 26.66666667x + x2 = 0 + -2666.666667 26.66666667x + x2 = 0 + -2666.666667 Combine like terms: 0 + -2666.666667 = -2666.666667 26.66666667x + x2 = -2666.666667 The x term is 26.66666667x. Take half its coefficient (13.33333334). Square it (177.7777780) and add it to both sides. Add '177.7777780' to each side of the equation. 26.66666667x + 177.7777780 + x2 = -2666.666667 + 177.7777780 Reorder the terms: 177.7777780 + 26.66666667x + x2 = -2666.666667 + 177.7777780 Combine like terms: -2666.666667 + 177.7777780 = -2488.888889 177.7777780 + 26.66666667x + x2 = -2488.888889 Factor a perfect square on the left side: (x + 13.33333334)(x + 13.33333334) = -2488.888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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