144x^2-96x+16=4x+60

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Solution for 144x^2-96x+16=4x+60 equation:


Simplifying
144x2 + -96x + 16 = 4x + 60

Reorder the terms:
16 + -96x + 144x2 = 4x + 60

Reorder the terms:
16 + -96x + 144x2 = 60 + 4x

Solving
16 + -96x + 144x2 = 60 + 4x

Solving for variable 'x'.

Reorder the terms:
16 + -60 + -96x + -4x + 144x2 = 60 + 4x + -60 + -4x

Combine like terms: 16 + -60 = -44
-44 + -96x + -4x + 144x2 = 60 + 4x + -60 + -4x

Combine like terms: -96x + -4x = -100x
-44 + -100x + 144x2 = 60 + 4x + -60 + -4x

Reorder the terms:
-44 + -100x + 144x2 = 60 + -60 + 4x + -4x

Combine like terms: 60 + -60 = 0
-44 + -100x + 144x2 = 0 + 4x + -4x
-44 + -100x + 144x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-44 + -100x + 144x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-11 + -25x + 36x2) = 0

Factor a trinomial.
4((-11 + -36x)(1 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-11 + -36x)' equal to zero and attempt to solve: Simplifying -11 + -36x = 0 Solving -11 + -36x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -36x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -36x = 0 + 11 -36x = 0 + 11 Combine like terms: 0 + 11 = 11 -36x = 11 Divide each side by '-36'. x = -0.3055555556 Simplifying x = -0.3055555556

Subproblem 2

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {-0.3055555556, 1}

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