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Simplifying x(x + -3) = 4(x + 1) + 3x2 + -7x Reorder the terms: x(-3 + x) = 4(x + 1) + 3x2 + -7x (-3 * x + x * x) = 4(x + 1) + 3x2 + -7x (-3x + x2) = 4(x + 1) + 3x2 + -7x Reorder the terms: -3x + x2 = 4(1 + x) + 3x2 + -7x -3x + x2 = (1 * 4 + x * 4) + 3x2 + -7x -3x + x2 = (4 + 4x) + 3x2 + -7x Reorder the terms: -3x + x2 = 4 + 4x + -7x + 3x2 Combine like terms: 4x + -7x = -3x -3x + x2 = 4 + -3x + 3x2 Add '3x' to each side of the equation. -3x + 3x + x2 = 4 + -3x + 3x + 3x2 Combine like terms: -3x + 3x = 0 0 + x2 = 4 + -3x + 3x + 3x2 x2 = 4 + -3x + 3x + 3x2 Combine like terms: -3x + 3x = 0 x2 = 4 + 0 + 3x2 x2 = 4 + 3x2 Solving x2 = 4 + 3x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x2' to each side of the equation. x2 + -3x2 = 4 + 3x2 + -3x2 Combine like terms: x2 + -3x2 = -2x2 -2x2 = 4 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -2x2 = 4 + 0 -2x2 = 4 Divide each side by '-2'. x2 = -2 Simplifying x2 = -2 Reorder the terms: 2 + x2 = -2 + 2 Combine like terms: -2 + 2 = 0 2 + x2 = 0 The solution to this equation could not be determined.
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