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Simplifying (4x + -3)(3x + 2) = (6x + -7)(2x + -5) Reorder the terms: (-3 + 4x)(3x + 2) = (6x + -7)(2x + -5) Reorder the terms: (-3 + 4x)(2 + 3x) = (6x + -7)(2x + -5) Multiply (-3 + 4x) * (2 + 3x) (-3(2 + 3x) + 4x * (2 + 3x)) = (6x + -7)(2x + -5) ((2 * -3 + 3x * -3) + 4x * (2 + 3x)) = (6x + -7)(2x + -5) ((-6 + -9x) + 4x * (2 + 3x)) = (6x + -7)(2x + -5) (-6 + -9x + (2 * 4x + 3x * 4x)) = (6x + -7)(2x + -5) (-6 + -9x + (8x + 12x2)) = (6x + -7)(2x + -5) Combine like terms: -9x + 8x = -1x (-6 + -1x + 12x2) = (6x + -7)(2x + -5) Reorder the terms: -6 + -1x + 12x2 = (-7 + 6x)(2x + -5) Reorder the terms: -6 + -1x + 12x2 = (-7 + 6x)(-5 + 2x) Multiply (-7 + 6x) * (-5 + 2x) -6 + -1x + 12x2 = (-7(-5 + 2x) + 6x * (-5 + 2x)) -6 + -1x + 12x2 = ((-5 * -7 + 2x * -7) + 6x * (-5 + 2x)) -6 + -1x + 12x2 = ((35 + -14x) + 6x * (-5 + 2x)) -6 + -1x + 12x2 = (35 + -14x + (-5 * 6x + 2x * 6x)) -6 + -1x + 12x2 = (35 + -14x + (-30x + 12x2)) Combine like terms: -14x + -30x = -44x -6 + -1x + 12x2 = (35 + -44x + 12x2) Add '-12x2' to each side of the equation. -6 + -1x + 12x2 + -12x2 = 35 + -44x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -6 + -1x + 0 = 35 + -44x + 12x2 + -12x2 -6 + -1x = 35 + -44x + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -6 + -1x = 35 + -44x + 0 -6 + -1x = 35 + -44x Solving -6 + -1x = 35 + -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. -6 + -1x + 44x = 35 + -44x + 44x Combine like terms: -1x + 44x = 43x -6 + 43x = 35 + -44x + 44x Combine like terms: -44x + 44x = 0 -6 + 43x = 35 + 0 -6 + 43x = 35 Add '6' to each side of the equation. -6 + 6 + 43x = 35 + 6 Combine like terms: -6 + 6 = 0 0 + 43x = 35 + 6 43x = 35 + 6 Combine like terms: 35 + 6 = 41 43x = 41 Divide each side by '43'. x = 0.9534883721 Simplifying x = 0.9534883721
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