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Simplifying 4x(x) + (4w + 1) * x + w = 0 Multiply x * x 4x2 + (4w + 1) * x + w = 0 Reorder the terms: 4x2 + (1 + 4w) * x + w = 0 Reorder the terms for easier multiplication: 4x2 + x(1 + 4w) + w = 0 4x2 + (1 * x + 4w * x) + w = 0 Reorder the terms: 4x2 + (4wx + 1x) + w = 0 4x2 + (4wx + 1x) + w = 0 Reorder the terms: w + 4wx + 1x + 4x2 = 0 Solving w + 4wx + 1x + 4x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1x' to each side of the equation. w + 4wx + 1x + -1x + 4x2 = 0 + -1x Combine like terms: 1x + -1x = 0 w + 4wx + 0 + 4x2 = 0 + -1x w + 4wx + 4x2 = 0 + -1x Remove the zero: w + 4wx + 4x2 = -1x Add '-4x2' to each side of the equation. w + 4wx + 4x2 + -4x2 = -1x + -4x2 Combine like terms: 4x2 + -4x2 = 0 w + 4wx + 0 = -1x + -4x2 w + 4wx = -1x + -4x2 Reorder the terms: w + 4wx + x + 4x2 = -1x + x + -4x2 + 4x2 Combine like terms: -1x + x = 0 w + 4wx + x + 4x2 = 0 + -4x2 + 4x2 w + 4wx + x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 w + 4wx + x + 4x2 = 0 The solution to this equation could not be determined.
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