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Simplifying (3x + -4)(4x + 3) = (2x + -5)(6x + 1) Reorder the terms: (-4 + 3x)(4x + 3) = (2x + -5)(6x + 1) Reorder the terms: (-4 + 3x)(3 + 4x) = (2x + -5)(6x + 1) Multiply (-4 + 3x) * (3 + 4x) (-4(3 + 4x) + 3x * (3 + 4x)) = (2x + -5)(6x + 1) ((3 * -4 + 4x * -4) + 3x * (3 + 4x)) = (2x + -5)(6x + 1) ((-12 + -16x) + 3x * (3 + 4x)) = (2x + -5)(6x + 1) (-12 + -16x + (3 * 3x + 4x * 3x)) = (2x + -5)(6x + 1) (-12 + -16x + (9x + 12x2)) = (2x + -5)(6x + 1) Combine like terms: -16x + 9x = -7x (-12 + -7x + 12x2) = (2x + -5)(6x + 1) Reorder the terms: -12 + -7x + 12x2 = (-5 + 2x)(6x + 1) Reorder the terms: -12 + -7x + 12x2 = (-5 + 2x)(1 + 6x) Multiply (-5 + 2x) * (1 + 6x) -12 + -7x + 12x2 = (-5(1 + 6x) + 2x * (1 + 6x)) -12 + -7x + 12x2 = ((1 * -5 + 6x * -5) + 2x * (1 + 6x)) -12 + -7x + 12x2 = ((-5 + -30x) + 2x * (1 + 6x)) -12 + -7x + 12x2 = (-5 + -30x + (1 * 2x + 6x * 2x)) -12 + -7x + 12x2 = (-5 + -30x + (2x + 12x2)) Combine like terms: -30x + 2x = -28x -12 + -7x + 12x2 = (-5 + -28x + 12x2) Add '-12x2' to each side of the equation. -12 + -7x + 12x2 + -12x2 = -5 + -28x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12 + -7x + 0 = -5 + -28x + 12x2 + -12x2 -12 + -7x = -5 + -28x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12 + -7x = -5 + -28x + 0 -12 + -7x = -5 + -28x Solving -12 + -7x = -5 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -12 + -7x + 28x = -5 + -28x + 28x Combine like terms: -7x + 28x = 21x -12 + 21x = -5 + -28x + 28x Combine like terms: -28x + 28x = 0 -12 + 21x = -5 + 0 -12 + 21x = -5 Add '12' to each side of the equation. -12 + 12 + 21x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 21x = -5 + 12 21x = -5 + 12 Combine like terms: -5 + 12 = 7 21x = 7 Divide each side by '21'. x = 0.3333333333 Simplifying x = 0.3333333333
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