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Simplifying 10x2 + -4x = -21 Reorder the terms: -4x + 10x2 = -21 Solving -4x + 10x2 = -21 Solving for variable 'x'. Reorder the terms: 21 + -4x + 10x2 = -21 + 21 Combine like terms: -21 + 21 = 0 21 + -4x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 2.1 + -0.4x + x2 = 0 Move the constant term to the right: Add '-2.1' to each side of the equation. 2.1 + -0.4x + -2.1 + x2 = 0 + -2.1 Reorder the terms: 2.1 + -2.1 + -0.4x + x2 = 0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.4x + x2 = 0 + -2.1 -0.4x + x2 = 0 + -2.1 Combine like terms: 0 + -2.1 = -2.1 -0.4x + x2 = -2.1 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 = -2.1 + 0.04 Reorder the terms: 0.04 + -0.4x + x2 = -2.1 + 0.04 Combine like terms: -2.1 + 0.04 = -2.06 0.04 + -0.4x + x2 = -2.06 Factor a perfect square on the left side: (x + -0.2)(x + -0.2) = -2.06 Can't calculate square root of the right side. The solution to this equation could not be determined.
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