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Simplifying x5 + 6x4 + -14x3 + -84c + 150 = 0 Reorder the terms: 150 + -84c + -14x3 + 6x4 + x5 = 0 Solving 150 + -84c + -14x3 + 6x4 + x5 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-150' to each side of the equation. 150 + -84c + -14x3 + 6x4 + -150 + x5 = 0 + -150 Reorder the terms: 150 + -150 + -84c + -14x3 + 6x4 + x5 = 0 + -150 Combine like terms: 150 + -150 = 0 0 + -84c + -14x3 + 6x4 + x5 = 0 + -150 -84c + -14x3 + 6x4 + x5 = 0 + -150 Combine like terms: 0 + -150 = -150 -84c + -14x3 + 6x4 + x5 = -150 Add '14x3' to each side of the equation. -84c + -14x3 + 6x4 + 14x3 + x5 = -150 + 14x3 Reorder the terms: -84c + -14x3 + 14x3 + 6x4 + x5 = -150 + 14x3 Combine like terms: -14x3 + 14x3 = 0 -84c + 0 + 6x4 + x5 = -150 + 14x3 -84c + 6x4 + x5 = -150 + 14x3 Add '-6x4' to each side of the equation. -84c + 6x4 + -6x4 + x5 = -150 + 14x3 + -6x4 Combine like terms: 6x4 + -6x4 = 0 -84c + 0 + x5 = -150 + 14x3 + -6x4 -84c + x5 = -150 + 14x3 + -6x4 Add '-1x5' to each side of the equation. -84c + x5 + -1x5 = -150 + 14x3 + -6x4 + -1x5 Combine like terms: x5 + -1x5 = 0 -84c + 0 = -150 + 14x3 + -6x4 + -1x5 -84c = -150 + 14x3 + -6x4 + -1x5 Divide each side by '-84'. c = 1.785714286 + -0.1666666667x3 + 0.07142857143x4 + 0.0119047619x5 Simplifying c = 1.785714286 + -0.1666666667x3 + 0.07142857143x4 + 0.0119047619x5
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