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Simplifying 4y2 + 7y + -2 = (y + 2)(4y + -1) Reorder the terms: -2 + 7y + 4y2 = (y + 2)(4y + -1) Reorder the terms: -2 + 7y + 4y2 = (2 + y)(4y + -1) Reorder the terms: -2 + 7y + 4y2 = (2 + y)(-1 + 4y) Multiply (2 + y) * (-1 + 4y) -2 + 7y + 4y2 = (2(-1 + 4y) + y(-1 + 4y)) -2 + 7y + 4y2 = ((-1 * 2 + 4y * 2) + y(-1 + 4y)) -2 + 7y + 4y2 = ((-2 + 8y) + y(-1 + 4y)) -2 + 7y + 4y2 = (-2 + 8y + (-1 * y + 4y * y)) -2 + 7y + 4y2 = (-2 + 8y + (-1y + 4y2)) Combine like terms: 8y + -1y = 7y -2 + 7y + 4y2 = (-2 + 7y + 4y2) Add '2' to each side of the equation. -2 + 7y + 2 + 4y2 = -2 + 7y + 2 + 4y2 Reorder the terms: -2 + 2 + 7y + 4y2 = -2 + 7y + 2 + 4y2 Combine like terms: -2 + 2 = 0 0 + 7y + 4y2 = -2 + 7y + 2 + 4y2 7y + 4y2 = -2 + 7y + 2 + 4y2 Reorder the terms: 7y + 4y2 = -2 + 2 + 7y + 4y2 Combine like terms: -2 + 2 = 0 7y + 4y2 = 0 + 7y + 4y2 7y + 4y2 = 7y + 4y2 Add '-7y' to each side of the equation. 7y + -7y + 4y2 = 7y + -7y + 4y2 Combine like terms: 7y + -7y = 0 0 + 4y2 = 7y + -7y + 4y2 4y2 = 7y + -7y + 4y2 Combine like terms: 7y + -7y = 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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