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Simplifying 9x2 + -12x + 4 = 9x2 + 6x + 1 Reorder the terms: 4 + -12x + 9x2 = 9x2 + 6x + 1 Reorder the terms: 4 + -12x + 9x2 = 1 + 6x + 9x2 Add '-9x2' to each side of the equation. 4 + -12x + 9x2 + -9x2 = 1 + 6x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 4 + -12x + 0 = 1 + 6x + 9x2 + -9x2 4 + -12x = 1 + 6x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 4 + -12x = 1 + 6x + 0 4 + -12x = 1 + 6x Solving 4 + -12x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + -12x + -6x = 1 + 6x + -6x Combine like terms: -12x + -6x = -18x 4 + -18x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -18x = 1 + 0 4 + -18x = 1 Add '-4' to each side of the equation. 4 + -4 + -18x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -18x = 1 + -4 -18x = 1 + -4 Combine like terms: 1 + -4 = -3 -18x = -3 Divide each side by '-18'. x = 0.1666666667 Simplifying x = 0.1666666667
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