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Simplifying 4(3m + -1d) * x2 = (d) * x2 Reorder the terms: 4(-1d + 3m) * x2 = (d) * x2 Reorder the terms for easier multiplication: 4x2(-1d + 3m) = (d) * x2 (-1d * 4x2 + 3m * 4x2) = (d) * x2 (-4dx2 + 12mx2) = (d) * x2 Multiply d * x2 -4dx2 + 12mx2 = dx2 Solving -4dx2 + 12mx2 = dx2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx2' to each side of the equation. -4dx2 + -1dx2 + 12mx2 = dx2 + -1dx2 Combine like terms: -4dx2 + -1dx2 = -5dx2 -5dx2 + 12mx2 = dx2 + -1dx2 Combine like terms: dx2 + -1dx2 = 0 -5dx2 + 12mx2 = 0 Add '-12mx2' to each side of the equation. -5dx2 + 12mx2 + -12mx2 = 0 + -12mx2 Combine like terms: 12mx2 + -12mx2 = 0 -5dx2 + 0 = 0 + -12mx2 -5dx2 = 0 + -12mx2 Remove the zero: -5dx2 = -12mx2 Divide each side by '-5x2'. d = 2.4m Simplifying d = 2.4m
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