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Simplifying 6x2 + -3[5y + 4y(y + -5)] = 0 Reorder the terms: 6x2 + -3[5y + 4y(-5 + y)] = 0 6x2 + -3[5y + (-5 * 4y + y * 4y)] = 0 6x2 + -3[5y + (-20y + 4y2)] = 0 Combine like terms: 5y + -20y = -15y 6x2 + -3[-15y + 4y2] = 0 6x2 + [-15y * -3 + 4y2 * -3] = 0 6x2 + [45y + -12y2] = 0 Solving 6x2 + 45y + -12y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45y' to each side of the equation. 6x2 + 45y + -45y + -12y2 = 0 + -45y Combine like terms: 45y + -45y = 0 6x2 + 0 + -12y2 = 0 + -45y 6x2 + -12y2 = 0 + -45y Remove the zero: 6x2 + -12y2 = -45y Add '12y2' to each side of the equation. 6x2 + -12y2 + 12y2 = -45y + 12y2 Combine like terms: -12y2 + 12y2 = 0 6x2 + 0 = -45y + 12y2 6x2 = -45y + 12y2 Divide each side by '6'. x2 = -7.5y + 2y2 Simplifying x2 = -7.5y + 2y2 Reorder the terms: x2 + 7.5y + -2y2 = -7.5y + 7.5y + 2y2 + -2y2 Combine like terms: -7.5y + 7.5y = 0.0 x2 + 7.5y + -2y2 = 0.0 + 2y2 + -2y2 x2 + 7.5y + -2y2 = 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 x2 + 7.5y + -2y2 = 0 The solution to this equation could not be determined.
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