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Simplifying (x + 3)(2x + -7) + 9 = (2x + -7)(x + 3) + 9 Reorder the terms: (3 + x)(2x + -7) + 9 = (2x + -7)(x + 3) + 9 Reorder the terms: (3 + x)(-7 + 2x) + 9 = (2x + -7)(x + 3) + 9 Multiply (3 + x) * (-7 + 2x) (3(-7 + 2x) + x(-7 + 2x)) + 9 = (2x + -7)(x + 3) + 9 ((-7 * 3 + 2x * 3) + x(-7 + 2x)) + 9 = (2x + -7)(x + 3) + 9 ((-21 + 6x) + x(-7 + 2x)) + 9 = (2x + -7)(x + 3) + 9 (-21 + 6x + (-7 * x + 2x * x)) + 9 = (2x + -7)(x + 3) + 9 (-21 + 6x + (-7x + 2x2)) + 9 = (2x + -7)(x + 3) + 9 Combine like terms: 6x + -7x = -1x (-21 + -1x + 2x2) + 9 = (2x + -7)(x + 3) + 9 Reorder the terms: -21 + 9 + -1x + 2x2 = (2x + -7)(x + 3) + 9 Combine like terms: -21 + 9 = -12 -12 + -1x + 2x2 = (2x + -7)(x + 3) + 9 Reorder the terms: -12 + -1x + 2x2 = (-7 + 2x)(x + 3) + 9 Reorder the terms: -12 + -1x + 2x2 = (-7 + 2x)(3 + x) + 9 Multiply (-7 + 2x) * (3 + x) -12 + -1x + 2x2 = (-7(3 + x) + 2x * (3 + x)) + 9 -12 + -1x + 2x2 = ((3 * -7 + x * -7) + 2x * (3 + x)) + 9 -12 + -1x + 2x2 = ((-21 + -7x) + 2x * (3 + x)) + 9 -12 + -1x + 2x2 = (-21 + -7x + (3 * 2x + x * 2x)) + 9 -12 + -1x + 2x2 = (-21 + -7x + (6x + 2x2)) + 9 Combine like terms: -7x + 6x = -1x -12 + -1x + 2x2 = (-21 + -1x + 2x2) + 9 Reorder the terms: -12 + -1x + 2x2 = -21 + 9 + -1x + 2x2 Combine like terms: -21 + 9 = -12 -12 + -1x + 2x2 = -12 + -1x + 2x2 Add '12' to each side of the equation. -12 + -1x + 12 + 2x2 = -12 + -1x + 12 + 2x2 Reorder the terms: -12 + 12 + -1x + 2x2 = -12 + -1x + 12 + 2x2 Combine like terms: -12 + 12 = 0 0 + -1x + 2x2 = -12 + -1x + 12 + 2x2 -1x + 2x2 = -12 + -1x + 12 + 2x2 Reorder the terms: -1x + 2x2 = -12 + 12 + -1x + 2x2 Combine like terms: -12 + 12 = 0 -1x + 2x2 = 0 + -1x + 2x2 -1x + 2x2 = -1x + 2x2 Add 'x' to each side of the equation. -1x + x + 2x2 = -1x + x + 2x2 Combine like terms: -1x + x = 0 0 + 2x2 = -1x + x + 2x2 2x2 = -1x + x + 2x2 Combine like terms: -1x + x = 0 2x2 = 0 + 2x2 2x2 = 2x2 Add '-2x2' to each side of the equation. 2x2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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