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Simplifying 30x2 + 6x + 3 = 0 Reorder the terms: 3 + 6x + 30x2 = 0 Solving 3 + 6x + 30x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1 + 2x + 10x2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(1 + 2x + 10x2)' equal to zero and attempt to solve: Simplifying 1 + 2x + 10x2 = 0 Solving 1 + 2x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.1 + 0.2x + x2 = 0.0 Move the constant term to the right: Add '-0.1' to each side of the equation. 0.1 + 0.2x + -0.1 + x2 = 0.0 + -0.1 Reorder the terms: 0.1 + -0.1 + 0.2x + x2 = 0.0 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 0.2x + x2 = 0.0 + -0.1 0.2x + x2 = 0.0 + -0.1 Combine like terms: 0.0 + -0.1 = -0.1 0.2x + x2 = -0.1 The x term is 0.2x. Take half its coefficient (0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. 0.2x + 0.01 + x2 = -0.1 + 0.01 Reorder the terms: 0.01 + 0.2x + x2 = -0.1 + 0.01 Combine like terms: -0.1 + 0.01 = -0.09 0.01 + 0.2x + x2 = -0.09 Factor a perfect square on the left side: (x + 0.1)(x + 0.1) = -0.09 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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