3x^2-20=4x

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Solution for 3x^2-20=4x equation:


Simplifying
3x2 + -20 = 4x

Reorder the terms:
-20 + 3x2 = 4x

Solving
-20 + 3x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-20 + -4x + 3x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-20 + -4x + 3x2 = 0

Factor a trinomial.
(-2 + -1x)(10 + -3x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

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

Solution

x = {-2, 3.333333333}

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