10x^2-61x-63=0

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Solution for 10x^2-61x-63=0 equation: 


Simplifying
10x2 + -61x + -63 = 0

Reorder the terms:
-63 + -61x + 10x2 = 0

Solving
-63 + -61x + 10x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -10x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-9 + -10x)' equal to zero and attempt to solve:

Simplifying
-9 + -10x = 0

Solving
-9 + -10x = 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 + -10x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -10x = 0 + 9
-10x = 0 + 9

Combine like terms: 0 + 9 = 9
-10x = 9

Divide each side by '-10'.
x = -0.9

Simplifying
x = -0.9

Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {-0.9, 7}

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