6X^2-7X=3

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Solution for 6X^2-7X=3 equation:


Simplifying
6X2 + -7X = 3

Reorder the terms:
-7X + 6X2 = 3

Solving
-7X + 6X2 = 3

Solving for variable 'X'.

Reorder the terms:
-3 + -7X + 6X2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -7X + 6X2 = 0

Factor a trinomial.
(-1 + -3X)(3 + -2X) = 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 '(3 + -2X)' equal to zero and attempt to solve: Simplifying 3 + -2X = 0 Solving 3 + -2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2X = 0 + -3 -2X = 0 + -3 Combine like terms: 0 + -3 = -3 -2X = -3 Divide each side by '-2'. X = 1.5 Simplifying X = 1.5

Solution

X = {-0.3333333333, 1.5}

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