196=2x(3x-7)

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Solution for 196=2x(3x-7) equation: 


Simplifying
196 = 2x(3x + -7)

Reorder the terms:
196 = 2x(-7 + 3x)
196 = (-7 * 2x + 3x * 2x)
196 = (-14x + 6x2)

Solving
196 = -14x + 6x2

Solving for variable 'x'.

Reorder the terms:
196 + 14x + -6x2 = -14x + 14x + 6x2 + -6x2

Combine like terms: -14x + 14x = 0
196 + 14x + -6x2 = 0 + 6x2 + -6x2
196 + 14x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
196 + 14x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(98 + 7x + -3x2) = 0

Factor a trinomial.
2((7 + -1x)(14 + 3x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(14 + 3x)' equal to zero and attempt to solve:

Simplifying
14 + 3x = 0

Solving
14 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-14' to each side of the equation.
14 + -14 + 3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 3x = 0 + -14
3x = 0 + -14

Combine like terms: 0 + -14 = -14
3x = -14

Divide each side by '3'.
x = -4.666666667

Simplifying
x = -4.666666667
Solution
x = {7, -4.666666667}

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