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Simplifying 5x2 + 30x = -175 Reorder the terms: 30x + 5x2 = -175 Solving 30x + 5x2 = -175 Solving for variable 'x'. Reorder the terms: 175 + 30x + 5x2 = -175 + 175 Combine like terms: -175 + 175 = 0 175 + 30x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(35 + 6x + x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(35 + 6x + x2)' equal to zero and attempt to solve: Simplifying 35 + 6x + x2 = 0 Solving 35 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-35' to each side of the equation. 35 + 6x + -35 + x2 = 0 + -35 Reorder the terms: 35 + -35 + 6x + x2 = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 6x + x2 = 0 + -35 6x + x2 = 0 + -35 Combine like terms: 0 + -35 = -35 6x + x2 = -35 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 = -35 + 9 Reorder the terms: 9 + 6x + x2 = -35 + 9 Combine like terms: -35 + 9 = -26 9 + 6x + x2 = -26 Factor a perfect square on the left side: (x + 3)(x + 3) = -26 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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