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Simplifying x(x + 3) = (2x + -7) Reorder the terms: x(3 + x) = (2x + -7) (3 * x + x * x) = (2x + -7) (3x + x2) = (2x + -7) Reorder the terms: 3x + x2 = (-7 + 2x) Remove parenthesis around (-7 + 2x) 3x + x2 = -7 + 2x Solving 3x + x2 = -7 + 2x Solving for variable 'x'. Reorder the terms: 7 + 3x + -2x + x2 = -7 + 2x + 7 + -2x Combine like terms: 3x + -2x = 1x 7 + 1x + x2 = -7 + 2x + 7 + -2x Reorder the terms: 7 + 1x + x2 = -7 + 7 + 2x + -2x Combine like terms: -7 + 7 = 0 7 + 1x + x2 = 0 + 2x + -2x 7 + 1x + x2 = 2x + -2x Combine like terms: 2x + -2x = 0 7 + 1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 1x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 1x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1x + x2 = 0 + -7 1x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 1x + x2 = -7 The x term is 1x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -7 + 0.25 Reorder the terms: 0.25 + x + x2 = -7 + 0.25 Combine like terms: -7 + 0.25 = -6.75 0.25 + x + x2 = -6.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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