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Simplifying 4x2(2w + -3) + -5(2w + -3) = 0 Reorder the terms: 4x2(-3 + 2w) + -5(2w + -3) = 0 (-3 * 4x2 + 2w * 4x2) + -5(2w + -3) = 0 Reorder the terms: (8wx2 + -12x2) + -5(2w + -3) = 0 (8wx2 + -12x2) + -5(2w + -3) = 0 Reorder the terms: 8wx2 + -12x2 + -5(-3 + 2w) = 0 8wx2 + -12x2 + (-3 * -5 + 2w * -5) = 0 8wx2 + -12x2 + (15 + -10w) = 0 Reorder the terms: 15 + -10w + 8wx2 + -12x2 = 0 Solving 15 + -10w + 8wx2 + -12x2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -10w + 8wx2 + -15 + -12x2 = 0 + -15 Reorder the terms: 15 + -15 + -10w + 8wx2 + -12x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -10w + 8wx2 + -12x2 = 0 + -15 -10w + 8wx2 + -12x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -10w + 8wx2 + -12x2 = -15 Add '12x2' to each side of the equation. -10w + 8wx2 + -12x2 + 12x2 = -15 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -10w + 8wx2 + 0 = -15 + 12x2 -10w + 8wx2 = -15 + 12x2 Reorder the terms: 15 + -10w + 8wx2 + -12x2 = -15 + 12x2 + 15 + -12x2 Reorder the terms: 15 + -10w + 8wx2 + -12x2 = -15 + 15 + 12x2 + -12x2 Combine like terms: -15 + 15 = 0 15 + -10w + 8wx2 + -12x2 = 0 + 12x2 + -12x2 15 + -10w + 8wx2 + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 15 + -10w + 8wx2 + -12x2 = 0 The solution to this equation could not be determined.
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