7+x=81-54x+9x^2

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Solution for 7+x=81-54x+9x^2 equation:


Simplifying
7 + x = 81 + -54x + 9x2

Solving
7 + x = 81 + -54x + 9x2

Solving for variable 'x'.

Reorder the terms:
7 + -81 + x + 54x + -9x2 = 81 + -54x + 9x2 + -81 + 54x + -9x2

Combine like terms: 7 + -81 = -74
-74 + x + 54x + -9x2 = 81 + -54x + 9x2 + -81 + 54x + -9x2

Combine like terms: x + 54x = 55x
-74 + 55x + -9x2 = 81 + -54x + 9x2 + -81 + 54x + -9x2

Reorder the terms:
-74 + 55x + -9x2 = 81 + -81 + -54x + 54x + 9x2 + -9x2

Combine like terms: 81 + -81 = 0
-74 + 55x + -9x2 = 0 + -54x + 54x + 9x2 + -9x2
-74 + 55x + -9x2 = -54x + 54x + 9x2 + -9x2

Combine like terms: -54x + 54x = 0
-74 + 55x + -9x2 = 0 + 9x2 + -9x2
-74 + 55x + -9x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-74 + 55x + -9x2 = 0

Factor a trinomial.
(-37 + 9x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-37 + 9x)' equal to zero and attempt to solve: Simplifying -37 + 9x = 0 Solving -37 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 9x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 9x = 0 + 37 9x = 0 + 37 Combine like terms: 0 + 37 = 37 9x = 37 Divide each side by '9'. x = 4.111111111 Simplifying x = 4.111111111

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {4.111111111, 2}

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