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Simplifying (2x + -3)(4x + 6) = y Reorder the terms: (-3 + 2x)(4x + 6) = y Reorder the terms: (-3 + 2x)(6 + 4x) = y Multiply (-3 + 2x) * (6 + 4x) (-3(6 + 4x) + 2x * (6 + 4x)) = y ((6 * -3 + 4x * -3) + 2x * (6 + 4x)) = y ((-18 + -12x) + 2x * (6 + 4x)) = y (-18 + -12x + (6 * 2x + 4x * 2x)) = y (-18 + -12x + (12x + 8x2)) = y Combine like terms: -12x + 12x = 0 (-18 + 0 + 8x2) = y (-18 + 8x2) = y Solving -18 + 8x2 = y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 8x2 = 18 + y Combine like terms: -18 + 18 = 0 0 + 8x2 = 18 + y 8x2 = 18 + y Divide each side by '8'. x2 = 2.25 + 0.125y Simplifying x2 = 2.25 + 0.125y Reorder the terms: -2.25 + x2 + -0.125y = 2.25 + 0.125y + -2.25 + -0.125y Reorder the terms: -2.25 + x2 + -0.125y = 2.25 + -2.25 + 0.125y + -0.125y Combine like terms: 2.25 + -2.25 = 0.00 -2.25 + x2 + -0.125y = 0.00 + 0.125y + -0.125y -2.25 + x2 + -0.125y = 0.125y + -0.125y Combine like terms: 0.125y + -0.125y = 0.000 -2.25 + x2 + -0.125y = 0.000 The solution to this equation could not be determined.
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