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Simplifying 6x2 + 10x + -18 = 3x(2x + 4) Reorder the terms: -18 + 10x + 6x2 = 3x(2x + 4) Reorder the terms: -18 + 10x + 6x2 = 3x(4 + 2x) -18 + 10x + 6x2 = (4 * 3x + 2x * 3x) -18 + 10x + 6x2 = (12x + 6x2) Add '-6x2' to each side of the equation. -18 + 10x + 6x2 + -6x2 = 12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -18 + 10x + 0 = 12x + 6x2 + -6x2 -18 + 10x = 12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -18 + 10x = 12x + 0 -18 + 10x = 12x Solving -18 + 10x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 10x + -12x = 12x + -12x Combine like terms: 10x + -12x = -2x -18 + -2x = 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -2x = 0 Add '18' to each side of the equation. -18 + 18 + -2x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -2x = 0 + 18 -2x = 0 + 18 Combine like terms: 0 + 18 = 18 -2x = 18 Divide each side by '-2'. x = -9 Simplifying x = -9
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