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Simplifying c(x) + -1(x2 + 10x + -4) = 0 Multiply c * x cx + -1(x2 + 10x + -4) = 0 Reorder the terms: cx + -1(-4 + 10x + x2) = 0 cx + (-4 * -1 + 10x * -1 + x2 * -1) = 0 cx + (4 + -10x + -1x2) = 0 Reorder the terms: 4 + cx + -10x + -1x2 = 0 Solving 4 + cx + -10x + -1x2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + cx + -10x + -4 + -1x2 = 0 + -4 Reorder the terms: 4 + -4 + cx + -10x + -1x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + cx + -10x + -1x2 = 0 + -4 cx + -10x + -1x2 = 0 + -4 Combine like terms: 0 + -4 = -4 cx + -10x + -1x2 = -4 Add '10x' to each side of the equation. cx + -10x + 10x + -1x2 = -4 + 10x Combine like terms: -10x + 10x = 0 cx + 0 + -1x2 = -4 + 10x cx + -1x2 = -4 + 10x Add 'x2' to each side of the equation. cx + -1x2 + x2 = -4 + 10x + x2 Combine like terms: -1x2 + x2 = 0 cx + 0 = -4 + 10x + x2 cx = -4 + 10x + x2 Divide each side by 'x'. c = -4x-1 + 10 + x Simplifying c = -4x-1 + 10 + x Reorder the terms: c = 10 + -4x-1 + x
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