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Simplifying 144x2 + -36 = (12x + 6)(12x + -6) Reorder the terms: -36 + 144x2 = (12x + 6)(12x + -6) Reorder the terms: -36 + 144x2 = (6 + 12x)(12x + -6) Reorder the terms: -36 + 144x2 = (6 + 12x)(-6 + 12x) Multiply (6 + 12x) * (-6 + 12x) -36 + 144x2 = (6(-6 + 12x) + 12x * (-6 + 12x)) -36 + 144x2 = ((-6 * 6 + 12x * 6) + 12x * (-6 + 12x)) -36 + 144x2 = ((-36 + 72x) + 12x * (-6 + 12x)) -36 + 144x2 = (-36 + 72x + (-6 * 12x + 12x * 12x)) -36 + 144x2 = (-36 + 72x + (-72x + 144x2)) Combine like terms: 72x + -72x = 0 -36 + 144x2 = (-36 + 0 + 144x2) -36 + 144x2 = (-36 + 144x2) Add '36' to each side of the equation. -36 + 36 + 144x2 = -36 + 36 + 144x2 Combine like terms: -36 + 36 = 0 0 + 144x2 = -36 + 36 + 144x2 144x2 = -36 + 36 + 144x2 Combine like terms: -36 + 36 = 0 144x2 = 0 + 144x2 144x2 = 144x2 Add '-144x2' to each side of the equation. 144x2 + -144x2 = 144x2 + -144x2 Combine like terms: 144x2 + -144x2 = 0 0 = 144x2 + -144x2 Combine like terms: 144x2 + -144x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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