3x^2=20x+7

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Solution for 3x^2=20x+7 equation:


Simplifying
3x2 = 20x + 7

Reorder the terms:
3x2 = 7 + 20x

Solving
3x2 = 7 + 20x

Solving for variable 'x'.

Reorder the terms:
-7 + -20x + 3x2 = 7 + 20x + -7 + -20x

Reorder the terms:
-7 + -20x + 3x2 = 7 + -7 + 20x + -20x

Combine like terms: 7 + -7 = 0
-7 + -20x + 3x2 = 0 + 20x + -20x
-7 + -20x + 3x2 = 20x + -20x

Combine like terms: 20x + -20x = 0
-7 + -20x + 3x2 = 0

Factor a trinomial.
(-1 + -3x)(7 + -1x) = 0

Subproblem 1

Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-0.3333333333, 7}

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