x(3x-7)=-2

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Solution for x(3x-7)=-2 equation:


Simplifying
x(3x + -7) = -2

Reorder the terms:
x(-7 + 3x) = -2
(-7 * x + 3x * x) = -2
(-7x + 3x2) = -2

Solving
-7x + 3x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + -7x + 3x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -7x + 3x2 = 0

Factor a trinomial.
(1 + -3x)(2 + -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 '(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

Solution

x = {0.3333333333, 2}

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