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Simplifying 4x2 + 4x + 23 = (4x + 1)(x + 23) Reorder the terms: 23 + 4x + 4x2 = (4x + 1)(x + 23) Reorder the terms: 23 + 4x + 4x2 = (1 + 4x)(x + 23) Reorder the terms: 23 + 4x + 4x2 = (1 + 4x)(23 + x) Multiply (1 + 4x) * (23 + x) 23 + 4x + 4x2 = (1(23 + x) + 4x * (23 + x)) 23 + 4x + 4x2 = ((23 * 1 + x * 1) + 4x * (23 + x)) 23 + 4x + 4x2 = ((23 + 1x) + 4x * (23 + x)) 23 + 4x + 4x2 = (23 + 1x + (23 * 4x + x * 4x)) 23 + 4x + 4x2 = (23 + 1x + (92x + 4x2)) Combine like terms: 1x + 92x = 93x 23 + 4x + 4x2 = (23 + 93x + 4x2) Add '-23' to each side of the equation. 23 + 4x + -23 + 4x2 = 23 + 93x + -23 + 4x2 Reorder the terms: 23 + -23 + 4x + 4x2 = 23 + 93x + -23 + 4x2 Combine like terms: 23 + -23 = 0 0 + 4x + 4x2 = 23 + 93x + -23 + 4x2 4x + 4x2 = 23 + 93x + -23 + 4x2 Reorder the terms: 4x + 4x2 = 23 + -23 + 93x + 4x2 Combine like terms: 23 + -23 = 0 4x + 4x2 = 0 + 93x + 4x2 4x + 4x2 = 93x + 4x2 Add '-4x2' to each side of the equation. 4x + 4x2 + -4x2 = 93x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 4x + 0 = 93x + 4x2 + -4x2 4x = 93x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 4x = 93x + 0 4x = 93x Solving 4x = 93x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-93x' to each side of the equation. 4x + -93x = 93x + -93x Combine like terms: 4x + -93x = -89x -89x = 93x + -93x Combine like terms: 93x + -93x = 0 -89x = 0 Divide each side by '-89'. x = 0 Simplifying x = 0
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