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Simplifying 8 + 3x2 + 2(8 + 3x) + -3 = 0 8 + 3x2 + (8 * 2 + 3x * 2) + -3 = 0 8 + 3x2 + (16 + 6x) + -3 = 0 Reorder the terms: 8 + 16 + -3 + 6x + 3x2 = 0 Combine like terms: 8 + 16 = 24 24 + -3 + 6x + 3x2 = 0 Combine like terms: 24 + -3 = 21 21 + 6x + 3x2 = 0 Solving 21 + 6x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(7 + 2x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(7 + 2x + x2)' equal to zero and attempt to solve: Simplifying 7 + 2x + x2 = 0 Solving 7 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 2x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 2x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x + x2 = 0 + -7 2x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2x + x2 = -7 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -7 + 1 Reorder the terms: 1 + 2x + x2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + 2x + x2 = -6 Factor a perfect square on the left side: (x + 1)(x + 1) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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