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Simplifying (2x + -3)(x + 2) = x + 4 + 2x2 Reorder the terms: (-3 + 2x)(x + 2) = x + 4 + 2x2 Reorder the terms: (-3 + 2x)(2 + x) = x + 4 + 2x2 Multiply (-3 + 2x) * (2 + x) (-3(2 + x) + 2x * (2 + x)) = x + 4 + 2x2 ((2 * -3 + x * -3) + 2x * (2 + x)) = x + 4 + 2x2 ((-6 + -3x) + 2x * (2 + x)) = x + 4 + 2x2 (-6 + -3x + (2 * 2x + x * 2x)) = x + 4 + 2x2 (-6 + -3x + (4x + 2x2)) = x + 4 + 2x2 Combine like terms: -3x + 4x = 1x (-6 + 1x + 2x2) = x + 4 + 2x2 Reorder the terms: -6 + 1x + 2x2 = 4 + x + 2x2 Add '-2x2' to each side of the equation. -6 + 1x + 2x2 + -2x2 = 4 + x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6 + 1x + 0 = 4 + x + 2x2 + -2x2 -6 + 1x = 4 + x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -6 + 1x = 4 + x + 0 -6 + 1x = 4 + x Solving -6 + 1x = 4 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 1x + -1x = 4 + x + -1x Combine like terms: 1x + -1x = 0 -6 + 0 = 4 + x + -1x -6 = 4 + x + -1x Combine like terms: x + -1x = 0 -6 = 4 + 0 -6 = 4 Add '6' to each side of the equation. -6 + 6 = 4 + 6 Combine like terms: -6 + 6 = 0 0 = 4 + 6 Combine like terms: 4 + 6 = 10 0 = 10 Simplifying 0 = 10 Combine like terms: 0 + -10 = -10 -10 = 10 + -10 Combine like terms: 10 + -10 = 0 -10 = 0 The solution to this equation could not be determined.
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