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Simplifying 4x2 + -7x + -2 = (4x + 1)(x + -2) Reorder the terms: -2 + -7x + 4x2 = (4x + 1)(x + -2) Reorder the terms: -2 + -7x + 4x2 = (1 + 4x)(x + -2) Reorder the terms: -2 + -7x + 4x2 = (1 + 4x)(-2 + x) Multiply (1 + 4x) * (-2 + x) -2 + -7x + 4x2 = (1(-2 + x) + 4x * (-2 + x)) -2 + -7x + 4x2 = ((-2 * 1 + x * 1) + 4x * (-2 + x)) -2 + -7x + 4x2 = ((-2 + 1x) + 4x * (-2 + x)) -2 + -7x + 4x2 = (-2 + 1x + (-2 * 4x + x * 4x)) -2 + -7x + 4x2 = (-2 + 1x + (-8x + 4x2)) Combine like terms: 1x + -8x = -7x -2 + -7x + 4x2 = (-2 + -7x + 4x2) Add '2' to each side of the equation. -2 + -7x + 2 + 4x2 = -2 + -7x + 2 + 4x2 Reorder the terms: -2 + 2 + -7x + 4x2 = -2 + -7x + 2 + 4x2 Combine like terms: -2 + 2 = 0 0 + -7x + 4x2 = -2 + -7x + 2 + 4x2 -7x + 4x2 = -2 + -7x + 2 + 4x2 Reorder the terms: -7x + 4x2 = -2 + 2 + -7x + 4x2 Combine like terms: -2 + 2 = 0 -7x + 4x2 = 0 + -7x + 4x2 -7x + 4x2 = -7x + 4x2 Add '7x' to each side of the equation. -7x + 7x + 4x2 = -7x + 7x + 4x2 Combine like terms: -7x + 7x = 0 0 + 4x2 = -7x + 7x + 4x2 4x2 = -7x + 7x + 4x2 Combine like terms: -7x + 7x = 0 4x2 = 0 + 4x2 4x2 = 4x2 Add '-4x2' to each side of the equation. 4x2 + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 0 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 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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