6x^2+11x=7

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Solution for 6x^2+11x=7 equation:


Simplifying
6x2 + 11x = 7

Reorder the terms:
11x + 6x2 = 7

Solving
11x + 6x2 = 7

Solving for variable 'x'.

Reorder the terms:
-7 + 11x + 6x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + 11x + 6x2 = 0

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

Subproblem 1

Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-2.333333333, 0.5}

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