9x^2=-9x+4

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Solution for 9x^2=-9x+4 equation:


Simplifying
9x2 = -9x + 4

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

Solving
9x2 = 4 + -9x

Solving for variable 'x'.

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

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

Combine like terms: 4 + -4 = 0
-4 + 9x + 9x2 = 0 + -9x + 9x
-4 + 9x + 9x2 = -9x + 9x

Combine like terms: -9x + 9x = 0
-4 + 9x + 9x2 = 0

Factor a trinomial.
(-4 + -3x)(1 + -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 '(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

Solution

x = {-1.333333333, 0.3333333333}

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