9x^2-12x+4=49

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Solution for 9x^2-12x+4=49 equation:


Simplifying
9x2 + -12x + 4 = 49

Reorder the terms:
4 + -12x + 9x2 = 49

Solving
4 + -12x + 9x2 = 49

Solving for variable 'x'.

Reorder the terms:
4 + -49 + -12x + 9x2 = 49 + -49

Combine like terms: 4 + -49 = -45
-45 + -12x + 9x2 = 49 + -49

Combine like terms: 49 + -49 = 0
-45 + -12x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-15 + -4x + 3x2) = 0

Factor a trinomial.
3((-5 + -3x)(3 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-5 + -3x)' equal to zero and attempt to solve: Simplifying -5 + -3x = 0 Solving -5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = 0 + 5 -3x = 0 + 5 Combine like terms: 0 + 5 = 5 -3x = 5 Divide each side by '-3'. x = -1.666666667 Simplifying x = -1.666666667

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-1.666666667, 3}

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