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Simplifying x = 4x2v + 5 Reorder the terms: x = 5 + 4vx2 Solving x = 5 + 4vx2 Solving for variable 'x'. Reorder the terms: -5 + -4vx2 + x = 5 + 4vx2 + -5 + -4vx2 Reorder the terms: -5 + -4vx2 + x = 5 + -5 + 4vx2 + -4vx2 Combine like terms: 5 + -5 = 0 -5 + -4vx2 + x = 0 + 4vx2 + -4vx2 -5 + -4vx2 + x = 4vx2 + -4vx2 Combine like terms: 4vx2 + -4vx2 = 0 -5 + -4vx2 + x = 0 Begin completing the square. Divide all terms by -4v the coefficient of the squared term: Divide each side by '-4v'. 1.25v-1 + x2 + -0.25v-1x = 0v-1 Move the constant term to the right: Add '-1.25' to each side of the equation. 1.25v-1 + x2 + -1.25 + -0.25v-1x = -1.25 + 0v-1 Reorder the terms: -1.25 + 1.25v-1 + -0.25v-1x + x2 = -1.25 + 0v-1 Combine like terms: -1.25 + 0 = -1.25 -1.25 + 1.25v-1 + -0.25v-1x + x2 = -1.25 The x term is v-1x. Take half its coefficient (0.5v-1). Square it (0.25v-2) and add it to both sides. Add '0.25v-2' to each side of the equation. -1.25 + 1.25v-1 + -0.25v-1x + 0.25v-2 + x2 = -1.25 + 0.25v-2 Reorder the terms: -1.25 + 0.25v-2 + 1.25v-1 + -0.25v-1x + x2 = -1.25 + 0.25v-2 Factor a perfect square on the left side: (x + 0.5v-1)(x + 0.5v-1) = -1.25 + 0.25v-2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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