9x^2-9x=28

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


Simplifying
9x2 + -9x = 28

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

Solving
-9x + 9x2 = 28

Solving for variable 'x'.

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

Combine like terms: 28 + -28 = 0
-28 + -9x + 9x2 = 0

Factor a trinomial.
(-4 + -3x)(7 + -3x) = 0

Subproblem 1

Set the factor '(-4 + -3x)' equal to zero and attempt to solve: Simplifying -4 + -3x = 0 Solving -4 + -3x = 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 + -3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3x = 0 + 4 -3x = 0 + 4 Combine like terms: 0 + 4 = 4 -3x = 4 Divide each side by '-3'. x = -1.333333333 Simplifying x = -1.333333333

Subproblem 2

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

Solution

x = {-1.333333333, 2.333333333}

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