9x^2-4x-28=0

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Solution for 9x^2-4x-28=0 equation:


Simplifying
9x2 + -4x + -28 = 0

Reorder the terms:
-28 + -4x + 9x2 = 0

Solving
-28 + -4x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + -9x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-14 + -9x)' equal to zero and attempt to solve: Simplifying -14 + -9x = 0 Solving -14 + -9x = 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 + -9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = 0 + 14 -9x = 0 + 14 Combine like terms: 0 + 14 = 14 -9x = 14 Divide each side by '-9'. x = -1.555555556 Simplifying x = -1.555555556

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 = {-1.555555556, 2}

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