0=-48x^2+2x+63

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Solution for 0=-48x^2+2x+63 equation: 


Simplifying
0 = -48x2 + 2x + 63

Reorder the terms:
0 = 63 + 2x + -48x2

Solving
0 = 63 + 2x + -48x2

Solving for variable 'x'.

Combine like terms: 0 + -63 = -63
-63 + -2x + 48x2 = 63 + 2x + -48x2 + -63 + -2x + 48x2

Reorder the terms:
-63 + -2x + 48x2 = 63 + -63 + 2x + -2x + -48x2 + 48x2

Combine like terms: 63 + -63 = 0
-63 + -2x + 48x2 = 0 + 2x + -2x + -48x2 + 48x2
-63 + -2x + 48x2 = 2x + -2x + -48x2 + 48x2

Combine like terms: 2x + -2x = 0
-63 + -2x + 48x2 = 0 + -48x2 + 48x2
-63 + -2x + 48x2 = -48x2 + 48x2

Combine like terms: -48x2 + 48x2 = 0
-63 + -2x + 48x2 = 0

Factor a trinomial.
(-9 + -8x)(7 + -6x) = 0


Subproblem 1
Set the factor '(-9 + -8x)' equal to zero and attempt to solve:

Simplifying
-9 + -8x = 0

Solving
-9 + -8x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -8x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = 0 + 9
-8x = 0 + 9

Combine like terms: 0 + 9 = 9
-8x = 9

Divide each side by '-8'.
x = -1.125

Simplifying
x = -1.125

Subproblem 2
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667
Solution
x = {-1.125, 1.166666667}

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