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Simplifying 6y2 + -12y + -24x + -42 = 0 Reorder the terms: -42 + -24x + -12y + 6y2 = 0 Solving -42 + -24x + -12y + 6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + -24x + -12y + 42 + 6y2 = 0 + 42 Reorder the terms: -42 + 42 + -24x + -12y + 6y2 = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -24x + -12y + 6y2 = 0 + 42 -24x + -12y + 6y2 = 0 + 42 Combine like terms: 0 + 42 = 42 -24x + -12y + 6y2 = 42 Add '12y' to each side of the equation. -24x + -12y + 12y + 6y2 = 42 + 12y Combine like terms: -12y + 12y = 0 -24x + 0 + 6y2 = 42 + 12y -24x + 6y2 = 42 + 12y Add '-6y2' to each side of the equation. -24x + 6y2 + -6y2 = 42 + 12y + -6y2 Combine like terms: 6y2 + -6y2 = 0 -24x + 0 = 42 + 12y + -6y2 -24x = 42 + 12y + -6y2 Divide each side by '-24'. x = -1.75 + -0.5y + 0.25y2 Simplifying x = -1.75 + -0.5y + 0.25y2
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