5(1+4x)5x=-195

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Solution for 5(1+4x)5x=-195 equation:


Simplifying
5(1 + 4x) * 5x = -195

Reorder the terms for easier multiplication:
5 * 5x(1 + 4x) = -195

Multiply 5 * 5
25x(1 + 4x) = -195
(1 * 25x + 4x * 25x) = -195
(25x + 100x2) = -195

Solving
25x + 100x2 = -195

Solving for variable 'x'.

Reorder the terms:
195 + 25x + 100x2 = -195 + 195

Combine like terms: -195 + 195 = 0
195 + 25x + 100x2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(39 + 5x + 20x2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(39 + 5x + 20x2)' equal to zero and attempt to solve: Simplifying 39 + 5x + 20x2 = 0 Solving 39 + 5x + 20x2 = 0 Begin completing the square. Divide all terms by 20 the coefficient of the squared term: Divide each side by '20'. 1.95 + 0.25x + x2 = 0.0 Move the constant term to the right: Add '-1.95' to each side of the equation. 1.95 + 0.25x + -1.95 + x2 = 0.0 + -1.95 Reorder the terms: 1.95 + -1.95 + 0.25x + x2 = 0.0 + -1.95 Combine like terms: 1.95 + -1.95 = 0.00 0.00 + 0.25x + x2 = 0.0 + -1.95 0.25x + x2 = 0.0 + -1.95 Combine like terms: 0.0 + -1.95 = -1.95 0.25x + x2 = -1.95 The x term is 0.25x. Take half its coefficient (0.125). Square it (0.015625) and add it to both sides. Add '0.015625' to each side of the equation. 0.25x + 0.015625 + x2 = -1.95 + 0.015625 Reorder the terms: 0.015625 + 0.25x + x2 = -1.95 + 0.015625 Combine like terms: -1.95 + 0.015625 = -1.934375 0.015625 + 0.25x + x2 = -1.934375 Factor a perfect square on the left side: (x + 0.125)(x + 0.125) = -1.934375 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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