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Simplifying 5x2 + 30x + 145 = 0 Reorder the terms: 145 + 30x + 5x2 = 0 Solving 145 + 30x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(29 + 6x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(29 + 6x + x2)' equal to zero and attempt to solve: Simplifying 29 + 6x + x2 = 0 Solving 29 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-29' to each side of the equation. 29 + 6x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + 6x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 6x + x2 = 0 + -29 6x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 6x + x2 = -29 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -29 + 9 Reorder the terms: 9 + 6x + x2 = -29 + 9 Combine like terms: -29 + 9 = -20 9 + 6x + x2 = -20 Factor a perfect square on the left side: (x + 3)(x + 3) = -20 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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