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Simplifying 40x + -7x2 = 101 + -3x2 Solving 40x + -7x2 = 101 + -3x2 Solving for variable 'x'. Reorder the terms: -101 + 40x + -7x2 + 3x2 = 101 + -3x2 + -101 + 3x2 Combine like terms: -7x2 + 3x2 = -4x2 -101 + 40x + -4x2 = 101 + -3x2 + -101 + 3x2 Reorder the terms: -101 + 40x + -4x2 = 101 + -101 + -3x2 + 3x2 Combine like terms: 101 + -101 = 0 -101 + 40x + -4x2 = 0 + -3x2 + 3x2 -101 + 40x + -4x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -101 + 40x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 25.25 + -10x + x2 = 0 Move the constant term to the right: Add '-25.25' to each side of the equation. 25.25 + -10x + -25.25 + x2 = 0 + -25.25 Reorder the terms: 25.25 + -25.25 + -10x + x2 = 0 + -25.25 Combine like terms: 25.25 + -25.25 = 0.00 0.00 + -10x + x2 = 0 + -25.25 -10x + x2 = 0 + -25.25 Combine like terms: 0 + -25.25 = -25.25 -10x + x2 = -25.25 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -25.25 + 25 Reorder the terms: 25 + -10x + x2 = -25.25 + 25 Combine like terms: -25.25 + 25 = -0.25 25 + -10x + x2 = -0.25 Factor a perfect square on the left side: (x + -5)(x + -5) = -0.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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