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Simplifying kx2 + kx + 1 = 4(x2 + x) Reorder the terms: 1 + kx + kx2 = 4(x2 + x) Reorder the terms: 1 + kx + kx2 = 4(x + x2) 1 + kx + kx2 = (x * 4 + x2 * 4) 1 + kx + kx2 = (4x + 4x2) Solving 1 + kx + kx2 = 4x + 4x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + kx + -1 + kx2 = 4x + -1 + 4x2 Reorder the terms: 1 + -1 + kx + kx2 = 4x + -1 + 4x2 Combine like terms: 1 + -1 = 0 0 + kx + kx2 = 4x + -1 + 4x2 kx + kx2 = 4x + -1 + 4x2 Reorder the terms: kx + kx2 = -1 + 4x + 4x2 Reorder the terms: 1 + kx + kx2 + -4x + -4x2 = -1 + 4x + 4x2 + 1 + -4x + -4x2 Reorder the terms: 1 + kx + kx2 + -4x + -4x2 = -1 + 1 + 4x + -4x + 4x2 + -4x2 Combine like terms: -1 + 1 = 0 1 + kx + kx2 + -4x + -4x2 = 0 + 4x + -4x + 4x2 + -4x2 1 + kx + kx2 + -4x + -4x2 = 4x + -4x + 4x2 + -4x2 Combine like terms: 4x + -4x = 0 1 + kx + kx2 + -4x + -4x2 = 0 + 4x2 + -4x2 1 + kx + kx2 + -4x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 1 + kx + kx2 + -4x + -4x2 = 0 The solution to this equation could not be determined.
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