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Simplifying 3x2 + 9x + 210 = 0 Reorder the terms: 210 + 9x + 3x2 = 0 Solving 210 + 9x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(70 + 3x + x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(70 + 3x + x2)' equal to zero and attempt to solve: Simplifying 70 + 3x + x2 = 0 Solving 70 + 3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-70' to each side of the equation. 70 + 3x + -70 + x2 = 0 + -70 Reorder the terms: 70 + -70 + 3x + x2 = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 3x + x2 = 0 + -70 3x + x2 = 0 + -70 Combine like terms: 0 + -70 = -70 3x + x2 = -70 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -70 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -70 + 2.25 Combine like terms: -70 + 2.25 = -67.75 2.25 + 3x + x2 = -67.75 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -67.75 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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