3x^2+2x=456

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Solution for 3x^2+2x=456 equation:


Simplifying
3x2 + 2x = 456

Reorder the terms:
2x + 3x2 = 456

Solving
2x + 3x2 = 456

Solving for variable 'x'.

Reorder the terms:
-456 + 2x + 3x2 = 456 + -456

Combine like terms: 456 + -456 = 0
-456 + 2x + 3x2 = 0

Factor a trinomial.
(-38 + -3x)(12 + -1x) = 0

Subproblem 1

Set the factor '(-38 + -3x)' equal to zero and attempt to solve: Simplifying -38 + -3x = 0 Solving -38 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -3x = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -3x = 0 + 38 -3x = 0 + 38 Combine like terms: 0 + 38 = 38 -3x = 38 Divide each side by '-3'. x = -12.66666667 Simplifying x = -12.66666667

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-12.66666667, 12}

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