6x(x-1)+13=7

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Solution for 6x(x-1)+13=7 equation:


Simplifying
6x(x + -1) + 13 = 7

Reorder the terms:
6x(-1 + x) + 13 = 7
(-1 * 6x + x * 6x) + 13 = 7
(-6x + 6x2) + 13 = 7

Reorder the terms:
13 + -6x + 6x2 = 7

Solving
13 + -6x + 6x2 = 7

Solving for variable 'x'.

Reorder the terms:
13 + -7 + -6x + 6x2 = 7 + -7

Combine like terms: 13 + -7 = 6
6 + -6x + 6x2 = 7 + -7

Combine like terms: 7 + -7 = 0
6 + -6x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(1 + -1x + x2) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(1 + -1x + x2)' equal to zero and attempt to solve: Simplifying 1 + -1x + x2 = 0 Solving 1 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + x2 = 0 + -1 -1x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x + x2 = -1 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + -1x + x2 = -0.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -0.75 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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