5x^2+14x-3=5-4x

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Solution for 5x^2+14x-3=5-4x equation: 


Simplifying
5x2 + 14x + -3 = 5 + -4x

Reorder the terms:
-3 + 14x + 5x2 = 5 + -4x

Solving
-3 + 14x + 5x2 = 5 + -4x

Solving for variable 'x'.

Reorder the terms:
-3 + -5 + 14x + 4x + 5x2 = 5 + -4x + -5 + 4x

Combine like terms: -3 + -5 = -8
-8 + 14x + 4x + 5x2 = 5 + -4x + -5 + 4x

Combine like terms: 14x + 4x = 18x
-8 + 18x + 5x2 = 5 + -4x + -5 + 4x

Reorder the terms:
-8 + 18x + 5x2 = 5 + -5 + -4x + 4x

Combine like terms: 5 + -5 = 0
-8 + 18x + 5x2 = 0 + -4x + 4x
-8 + 18x + 5x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-8 + 18x + 5x2 = 0

Factor a trinomial.
(-4 + -1x)(2 + -5x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5x = 0 + -2
-5x = 0 + -2

Combine like terms: 0 + -2 = -2
-5x = -2

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {-4, 0.4}

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