63x+21x^2=2730

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Solution for 63x+21x^2=2730 equation:


Simplifying
63x + 21x2 = 2730

Solving
63x + 21x2 = 2730

Solving for variable 'x'.

Reorder the terms:
-2730 + 63x + 21x2 = 2730 + -2730

Combine like terms: 2730 + -2730 = 0
-2730 + 63x + 21x2 = 0

Factor out the Greatest Common Factor (GCF), '21'.
21(-130 + 3x + x2) = 0

Factor a trinomial.
21((-13 + -1x)(10 + -1x)) = 0

Ignore the factor 21.

Subproblem 1

Set the factor '(-13 + -1x)' equal to zero and attempt to solve: Simplifying -13 + -1x = 0 Solving -13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -1x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 0 + 13 -1x = 0 + 13 Combine like terms: 0 + 13 = 13 -1x = 13 Divide each side by '-1'. x = -13 Simplifying x = -13

Subproblem 2

Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10

Solution

x = {-13, 10}

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