5x^2-2x-11=-5x-3

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Solution for 5x^2-2x-11=-5x-3 equation:


Simplifying
5x2 + -2x + -11 = -5x + -3

Reorder the terms:
-11 + -2x + 5x2 = -5x + -3

Reorder the terms:
-11 + -2x + 5x2 = -3 + -5x

Solving
-11 + -2x + 5x2 = -3 + -5x

Solving for variable 'x'.

Reorder the terms:
-11 + 3 + -2x + 5x + 5x2 = -3 + -5x + 3 + 5x

Combine like terms: -11 + 3 = -8
-8 + -2x + 5x + 5x2 = -3 + -5x + 3 + 5x

Combine like terms: -2x + 5x = 3x
-8 + 3x + 5x2 = -3 + -5x + 3 + 5x

Reorder the terms:
-8 + 3x + 5x2 = -3 + 3 + -5x + 5x

Combine like terms: -3 + 3 = 0
-8 + 3x + 5x2 = 0 + -5x + 5x
-8 + 3x + 5x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
-8 + 3x + 5x2 = 0

Factor a trinomial.
(-8 + -5x)(1 + -1x) = 0


Subproblem 1
Set the factor '(-8 + -5x)' equal to zero and attempt to solve:

Simplifying
-8 + -5x = 0

Solving
-8 + -5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -5x = 0 + 8
-5x = 0 + 8

Combine like terms: 0 + 8 = 8
-5x = 8

Divide each side by '-5'.
x = -1.6

Simplifying
x = -1.6

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 = {-1.6, 1}

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