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Simplifying (-1x)(-1x) = -4x + -32 Remove parenthesis around (-1x) -1x(-1x) = -4x + -32 Remove parenthesis around (-1x) -1x * -1x = -4x + -32 Reorder the terms for easier multiplication: -1 * -1x * x = -4x + -32 Multiply -1 * -1 1x * x = -4x + -32 Multiply x * x 1x2 = -4x + -32 Reorder the terms: 1x2 = -32 + -4x Solving 1x2 = -32 + -4x Solving for variable 'x'. Reorder the terms: 32 + 4x + 1x2 = -32 + -4x + 32 + 4x Reorder the terms: 32 + 4x + 1x2 = -32 + 32 + -4x + 4x Combine like terms: -32 + 32 = 0 32 + 4x + 1x2 = 0 + -4x + 4x 32 + 4x + 1x2 = -4x + 4x Combine like terms: -4x + 4x = 0 32 + 4x + 1x2 = 0 Begin completing the square. Move the constant term to the right: Add '-32' to each side of the equation. 32 + 4x + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + 4x + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 4x + x2 = 0 + -32 4x + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 4x + x2 = -32 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -32 + 4 Reorder the terms: 4 + 4x + x2 = -32 + 4 Combine like terms: -32 + 4 = -28 4 + 4x + x2 = -28 Factor a perfect square on the left side: (x + 2)(x + 2) = -28 Can't calculate square root of the right side. The solution to this equation could not be determined.
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