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Simplifying 2x2 + 4x + 19 = x(x + 4) + 3 Reorder the terms: 19 + 4x + 2x2 = x(x + 4) + 3 Reorder the terms: 19 + 4x + 2x2 = x(4 + x) + 3 19 + 4x + 2x2 = (4 * x + x * x) + 3 19 + 4x + 2x2 = (4x + x2) + 3 Reorder the terms: 19 + 4x + 2x2 = 3 + 4x + x2 Add '-4x' to each side of the equation. 19 + 4x + -4x + 2x2 = 3 + 4x + -4x + x2 Combine like terms: 4x + -4x = 0 19 + 0 + 2x2 = 3 + 4x + -4x + x2 19 + 2x2 = 3 + 4x + -4x + x2 Combine like terms: 4x + -4x = 0 19 + 2x2 = 3 + 0 + x2 19 + 2x2 = 3 + x2 Solving 19 + 2x2 = 3 + x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2' to each side of the equation. 19 + 2x2 + -1x2 = 3 + x2 + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 19 + 1x2 = 3 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 19 + 1x2 = 3 + 0 19 + 1x2 = 3 Add '-19' to each side of the equation. 19 + -19 + 1x2 = 3 + -19 Combine like terms: 19 + -19 = 0 0 + 1x2 = 3 + -19 1x2 = 3 + -19 Combine like terms: 3 + -19 = -16 1x2 = -16 Divide each side by '1'. x2 = -16 Simplifying x2 = -16 Reorder the terms: 16 + x2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + x2 = 0 The solution to this equation could not be determined.
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