6x^2-17x=28

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Solution for 6x^2-17x=28 equation:


Simplifying
6x2 + -17x = 28

Reorder the terms:
-17x + 6x2 = 28

Solving
-17x + 6x2 = 28

Solving for variable 'x'.

Reorder the terms:
-28 + -17x + 6x2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + -17x + 6x2 = 0

Factor a trinomial.
(-7 + -6x)(4 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -6x)' equal to zero and attempt to solve: Simplifying -7 + -6x = 0 Solving -7 + -6x = 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 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667

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 = {-1.166666667, 4}

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