x(3x-7)=20

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Solution for x(3x-7)=20 equation:


Simplifying
x(3x + -7) = 20

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

Solving
-7x + 3x2 = 20

Solving for variable 'x'.

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

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

Factor a trinomial.
(-5 + -3x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {-1.666666667, 4}

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