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Simplifying 6x5 + -18x2 + 7dx[23x] = 0 Remove brackets around [23x] 6x5 + -18x2 + 7dx * 23x = 0 Reorder the terms for easier multiplication: 6x5 + -18x2 + 7 * 23dx * x = 0 Multiply 7 * 23 6x5 + -18x2 + 161dx * x = 0 Multiply dx * x 6x5 + -18x2 + 161dx2 = 0 Reorder the terms: 161dx2 + -18x2 + 6x5 = 0 Solving 161dx2 + -18x2 + 6x5 = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '18x2' to each side of the equation. 161dx2 + -18x2 + 18x2 + 6x5 = 0 + 18x2 Combine like terms: -18x2 + 18x2 = 0 161dx2 + 0 + 6x5 = 0 + 18x2 161dx2 + 6x5 = 0 + 18x2 Remove the zero: 161dx2 + 6x5 = 18x2 Add '-6x5' to each side of the equation. 161dx2 + 6x5 + -6x5 = 18x2 + -6x5 Combine like terms: 6x5 + -6x5 = 0 161dx2 + 0 = 18x2 + -6x5 161dx2 = 18x2 + -6x5 Divide each side by '161x2'. d = 0.1118012422 + -0.03726708075x3 Simplifying d = 0.1118012422 + -0.03726708075x3
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