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Simplifying x2 + 6x = 4x + -25 Reorder the terms: 6x + x2 = 4x + -25 Reorder the terms: 6x + x2 = -25 + 4x Solving 6x + x2 = -25 + 4x Solving for variable 'x'. Reorder the terms: 25 + 6x + -4x + x2 = -25 + 4x + 25 + -4x Combine like terms: 6x + -4x = 2x 25 + 2x + x2 = -25 + 4x + 25 + -4x Reorder the terms: 25 + 2x + x2 = -25 + 25 + 4x + -4x Combine like terms: -25 + 25 = 0 25 + 2x + x2 = 0 + 4x + -4x 25 + 2x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 25 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + 2x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + 2x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 2x + x2 = 0 + -25 2x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 2x + x2 = -25 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -25 + 1 Reorder the terms: 1 + 2x + x2 = -25 + 1 Combine like terms: -25 + 1 = -24 1 + 2x + x2 = -24 Factor a perfect square on the left side: (x + 1)(x + 1) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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