5x^2+7x-3=4x-1

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Solution for 5x^2+7x-3=4x-1 equation: 


Simplifying
5x2 + 7x + -3 = 4x + -1

Reorder the terms:
-3 + 7x + 5x2 = 4x + -1

Reorder the terms:
-3 + 7x + 5x2 = -1 + 4x

Solving
-3 + 7x + 5x2 = -1 + 4x

Solving for variable 'x'.

Reorder the terms:
-3 + 1 + 7x + -4x + 5x2 = -1 + 4x + 1 + -4x

Combine like terms: -3 + 1 = -2
-2 + 7x + -4x + 5x2 = -1 + 4x + 1 + -4x

Combine like terms: 7x + -4x = 3x
-2 + 3x + 5x2 = -1 + 4x + 1 + -4x

Reorder the terms:
-2 + 3x + 5x2 = -1 + 1 + 4x + -4x

Combine like terms: -1 + 1 = 0
-2 + 3x + 5x2 = 0 + 4x + -4x
-2 + 3x + 5x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 3x + 5x2 = 0

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


Subproblem 1
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

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 = {-1, 0.4}

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