1296=x^2+30x

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Solution for 1296=x^2+30x equation:


Simplifying
1296 = x2 + 30x

Reorder the terms:
1296 = 30x + x2

Solving
1296 = 30x + x2

Solving for variable 'x'.

Reorder the terms:
1296 + -30x + -1x2 = 30x + -30x + x2 + -1x2

Combine like terms: 30x + -30x = 0
1296 + -30x + -1x2 = 0 + x2 + -1x2
1296 + -30x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
1296 + -30x + -1x2 = 0

Factor a trinomial.
(24 + -1x)(54 + x) = 0

Subproblem 1

Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24

Subproblem 2

Set the factor '(54 + x)' equal to zero and attempt to solve: Simplifying 54 + x = 0 Solving 54 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + x = 0 + -54 x = 0 + -54 Combine like terms: 0 + -54 = -54 x = -54 Simplifying x = -54

Solution

x = {24, -54}

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