48x^2-32x-35=0

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Solution for 48x^2-32x-35=0 equation: 


Simplifying
48x2 + -32x + -35 = 0

Reorder the terms:
-35 + -32x + 48x2 = 0

Solving
-35 + -32x + 48x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -12x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-7 + -12x)' equal to zero and attempt to solve:

Simplifying
-7 + -12x = 0

Solving
-7 + -12x = 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 + -12x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -12x = 0 + 7
-12x = 0 + 7

Combine like terms: 0 + 7 = 7
-12x = 7

Divide each side by '-12'.
x = -0.5833333333

Simplifying
x = -0.5833333333

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {-0.5833333333, 1.25}

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