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Simplifying 49x2 + 36 = (7x + -6)(7x + -6) Reorder the terms: 36 + 49x2 = (7x + -6)(7x + -6) Reorder the terms: 36 + 49x2 = (-6 + 7x)(7x + -6) Reorder the terms: 36 + 49x2 = (-6 + 7x)(-6 + 7x) Multiply (-6 + 7x) * (-6 + 7x) 36 + 49x2 = (-6(-6 + 7x) + 7x * (-6 + 7x)) 36 + 49x2 = ((-6 * -6 + 7x * -6) + 7x * (-6 + 7x)) 36 + 49x2 = ((36 + -42x) + 7x * (-6 + 7x)) 36 + 49x2 = (36 + -42x + (-6 * 7x + 7x * 7x)) 36 + 49x2 = (36 + -42x + (-42x + 49x2)) Combine like terms: -42x + -42x = -84x 36 + 49x2 = (36 + -84x + 49x2) Add '-36' to each side of the equation. 36 + -36 + 49x2 = 36 + -84x + -36 + 49x2 Combine like terms: 36 + -36 = 0 0 + 49x2 = 36 + -84x + -36 + 49x2 49x2 = 36 + -84x + -36 + 49x2 Reorder the terms: 49x2 = 36 + -36 + -84x + 49x2 Combine like terms: 36 + -36 = 0 49x2 = 0 + -84x + 49x2 49x2 = -84x + 49x2 Add '-49x2' to each side of the equation. 49x2 + -49x2 = -84x + 49x2 + -49x2 Combine like terms: 49x2 + -49x2 = 0 0 = -84x + 49x2 + -49x2 Combine like terms: 49x2 + -49x2 = 0 0 = -84x + 0 0 = -84x Solving 0 = -84x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '84x' to each side of the equation. 0 + 84x = -84x + 84x Remove the zero: 84x = -84x + 84x Combine like terms: -84x + 84x = 0 84x = 0 Divide each side by '84'. x = 0 Simplifying x = 0
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