0=x^2+144x-441

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Solution for 0=x^2+144x-441 equation:


Simplifying
0 = x2 + 144x + -441

Reorder the terms:
0 = -441 + 144x + x2

Solving
0 = -441 + 144x + x2

Solving for variable 'x'.

Combine like terms: 0 + 441 = 441
441 + -144x + -1x2 = -441 + 144x + x2 + 441 + -144x + -1x2

Reorder the terms:
441 + -144x + -1x2 = -441 + 441 + 144x + -144x + x2 + -1x2

Combine like terms: -441 + 441 = 0
441 + -144x + -1x2 = 0 + 144x + -144x + x2 + -1x2
441 + -144x + -1x2 = 144x + -144x + x2 + -1x2

Combine like terms: 144x + -144x = 0
441 + -144x + -1x2 = 0 + x2 + -1x2
441 + -144x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
441 + -144x + -1x2 = 0

Factor a trinomial.
(3 + -1x)(147 + x) = 0

Subproblem 1

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Subproblem 2

Set the factor '(147 + x)' equal to zero and attempt to solve: Simplifying 147 + x = 0 Solving 147 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-147' to each side of the equation. 147 + -147 + x = 0 + -147 Combine like terms: 147 + -147 = 0 0 + x = 0 + -147 x = 0 + -147 Combine like terms: 0 + -147 = -147 x = -147 Simplifying x = -147

Solution

x = {3, -147}

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