5x^2+13x-3=7x-4

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Solution for 5x^2+13x-3=7x-4 equation: 


Simplifying
5x2 + 13x + -3 = 7x + -4

Reorder the terms:
-3 + 13x + 5x2 = 7x + -4

Reorder the terms:
-3 + 13x + 5x2 = -4 + 7x

Solving
-3 + 13x + 5x2 = -4 + 7x

Solving for variable 'x'.

Reorder the terms:
-3 + 4 + 13x + -7x + 5x2 = -4 + 7x + 4 + -7x

Combine like terms: -3 + 4 = 1
1 + 13x + -7x + 5x2 = -4 + 7x + 4 + -7x

Combine like terms: 13x + -7x = 6x
1 + 6x + 5x2 = -4 + 7x + 4 + -7x

Reorder the terms:
1 + 6x + 5x2 = -4 + 4 + 7x + -7x

Combine like terms: -4 + 4 = 0
1 + 6x + 5x2 = 0 + 7x + -7x
1 + 6x + 5x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
1 + 6x + 5x2 = 0

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


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

Simplifying
1 + x = 0

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve:

Simplifying
1 + 5x = 0

Solving
1 + 5x = 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 + 5x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 0 + -1
5x = 0 + -1

Combine like terms: 0 + -1 = -1
5x = -1

Divide each side by '5'.
x = -0.2

Simplifying
x = -0.2
Solution
x = {-1, -0.2}

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