5x(x-11)+3=2x-3x^2-4

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Solution for 5x(x-11)+3=2x-3x^2-4 equation: 


Simplifying
5x(x + -11) + 3 = 2x + -3x2 + -4

Reorder the terms:
5x(-11 + x) + 3 = 2x + -3x2 + -4
(-11 * 5x + x * 5x) + 3 = 2x + -3x2 + -4
(-55x + 5x2) + 3 = 2x + -3x2 + -4

Reorder the terms:
3 + -55x + 5x2 = 2x + -3x2 + -4

Reorder the terms:
3 + -55x + 5x2 = -4 + 2x + -3x2

Solving
3 + -55x + 5x2 = -4 + 2x + -3x2

Solving for variable 'x'.

Reorder the terms:
3 + 4 + -55x + -2x + 5x2 + 3x2 = -4 + 2x + -3x2 + 4 + -2x + 3x2

Combine like terms: 3 + 4 = 7
7 + -55x + -2x + 5x2 + 3x2 = -4 + 2x + -3x2 + 4 + -2x + 3x2

Combine like terms: -55x + -2x = -57x
7 + -57x + 5x2 + 3x2 = -4 + 2x + -3x2 + 4 + -2x + 3x2

Combine like terms: 5x2 + 3x2 = 8x2
7 + -57x + 8x2 = -4 + 2x + -3x2 + 4 + -2x + 3x2

Reorder the terms:
7 + -57x + 8x2 = -4 + 4 + 2x + -2x + -3x2 + 3x2

Combine like terms: -4 + 4 = 0
7 + -57x + 8x2 = 0 + 2x + -2x + -3x2 + 3x2
7 + -57x + 8x2 = 2x + -2x + -3x2 + 3x2

Combine like terms: 2x + -2x = 0
7 + -57x + 8x2 = 0 + -3x2 + 3x2
7 + -57x + 8x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
7 + -57x + 8x2 = 0

Factor a trinomial.
(1 + -8x)(7 + -1x) = 0


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

Simplifying
1 + -8x = 0

Solving
1 + -8x = 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 + -8x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8x = 0 + -1
-8x = 0 + -1

Combine like terms: 0 + -1 = -1
-8x = -1

Divide each side by '-8'.
x = 0.125

Simplifying
x = 0.125

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 = {0.125, 7}

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