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Simplifying x2 = 19x + -188 Reorder the terms: x2 = -188 + 19x Solving x2 = -188 + 19x Solving for variable 'x'. Reorder the terms: 188 + -19x + x2 = -188 + 19x + 188 + -19x Reorder the terms: 188 + -19x + x2 = -188 + 188 + 19x + -19x Combine like terms: -188 + 188 = 0 188 + -19x + x2 = 0 + 19x + -19x 188 + -19x + x2 = 19x + -19x Combine like terms: 19x + -19x = 0 188 + -19x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-188' to each side of the equation. 188 + -19x + -188 + x2 = 0 + -188 Reorder the terms: 188 + -188 + -19x + x2 = 0 + -188 Combine like terms: 188 + -188 = 0 0 + -19x + x2 = 0 + -188 -19x + x2 = 0 + -188 Combine like terms: 0 + -188 = -188 -19x + x2 = -188 The x term is -19x. Take half its coefficient (-9.5). Square it (90.25) and add it to both sides. Add '90.25' to each side of the equation. -19x + 90.25 + x2 = -188 + 90.25 Reorder the terms: 90.25 + -19x + x2 = -188 + 90.25 Combine like terms: -188 + 90.25 = -97.75 90.25 + -19x + x2 = -97.75 Factor a perfect square on the left side: (x + -9.5)(x + -9.5) = -97.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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