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Simplifying 4y2 + -25 = (2y + -5)(2y + 5) Reorder the terms: -25 + 4y2 = (2y + -5)(2y + 5) Reorder the terms: -25 + 4y2 = (-5 + 2y)(2y + 5) Reorder the terms: -25 + 4y2 = (-5 + 2y)(5 + 2y) Multiply (-5 + 2y) * (5 + 2y) -25 + 4y2 = (-5(5 + 2y) + 2y * (5 + 2y)) -25 + 4y2 = ((5 * -5 + 2y * -5) + 2y * (5 + 2y)) -25 + 4y2 = ((-25 + -10y) + 2y * (5 + 2y)) -25 + 4y2 = (-25 + -10y + (5 * 2y + 2y * 2y)) -25 + 4y2 = (-25 + -10y + (10y + 4y2)) Combine like terms: -10y + 10y = 0 -25 + 4y2 = (-25 + 0 + 4y2) -25 + 4y2 = (-25 + 4y2) Add '25' to each side of the equation. -25 + 25 + 4y2 = -25 + 25 + 4y2 Combine like terms: -25 + 25 = 0 0 + 4y2 = -25 + 25 + 4y2 4y2 = -25 + 25 + 4y2 Combine like terms: -25 + 25 = 0 4y2 = 0 + 4y2 4y2 = 4y2 Add '-4y2' to each side of the equation. 4y2 + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 0 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 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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