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Simplifying 144 + x2 = 4x + 9 Reorder the terms: 144 + x2 = 9 + 4x Solving 144 + x2 = 9 + 4x Solving for variable 'x'. Reorder the terms: 144 + -9 + -4x + x2 = 9 + 4x + -9 + -4x Combine like terms: 144 + -9 = 135 135 + -4x + x2 = 9 + 4x + -9 + -4x Reorder the terms: 135 + -4x + x2 = 9 + -9 + 4x + -4x Combine like terms: 9 + -9 = 0 135 + -4x + x2 = 0 + 4x + -4x 135 + -4x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 135 + -4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-135' to each side of the equation. 135 + -4x + -135 + x2 = 0 + -135 Reorder the terms: 135 + -135 + -4x + x2 = 0 + -135 Combine like terms: 135 + -135 = 0 0 + -4x + x2 = 0 + -135 -4x + x2 = 0 + -135 Combine like terms: 0 + -135 = -135 -4x + x2 = -135 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -135 + 4 Reorder the terms: 4 + -4x + x2 = -135 + 4 Combine like terms: -135 + 4 = -131 4 + -4x + x2 = -131 Factor a perfect square on the left side: (x + -2)(x + -2) = -131 Can't calculate square root of the right side. The solution to this equation could not be determined.
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