3x^2-30=-x

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Solution for 3x^2-30=-x equation:


Simplifying
3x2 + -30 = -1x

Reorder the terms:
-30 + 3x2 = -1x

Solving
-30 + 3x2 = -1x

Solving for variable 'x'.

Reorder the terms:
-30 + x + 3x2 = -1x + x

Combine like terms: -1x + x = 0
-30 + x + 3x2 = 0

Factor a trinomial.
(-10 + -3x)(3 + -1x) = 0

Subproblem 1

Set the factor '(-10 + -3x)' equal to zero and attempt to solve: Simplifying -10 + -3x = 0 Solving -10 + -3x = 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 + -3x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 0 + 10 -3x = 0 + 10 Combine like terms: 0 + 10 = 10 -3x = 10 Divide each side by '-3'. x = -3.333333333 Simplifying x = -3.333333333

Subproblem 2

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

Solution

x = {-3.333333333, 3}

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