7=(x(6x-1))

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


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

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

Remove parenthesis around (-1x + 6x2)
7 = -1x + 6x2

Solving
7 = -1x + 6x2

Solving for variable 'x'.

Reorder the terms:
7 + x + -6x2 = -1x + x + 6x2 + -6x2

Combine like terms: -1x + x = 0
7 + x + -6x2 = 0 + 6x2 + -6x2
7 + x + -6x2 = 6x2 + -6x2

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

Factor a trinomial.
(7 + -6x)(1 + x) = 0

Subproblem 1

Set the factor '(7 + -6x)' equal to zero and attempt to solve: Simplifying 7 + -6x = 0 Solving 7 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6x = 0 + -7 -6x = 0 + -7 Combine like terms: 0 + -7 = -7 -6x = -7 Divide each side by '-6'. x = 1.166666667 Simplifying x = 1.166666667

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {1.166666667, -1}

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