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

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


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

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

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

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

Solving for variable 'x'.

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

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

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

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

Combine like terms: -1 + 1 = 0
4 + 3x + -7x2 = 0 + 4x + -4x
4 + 3x + -7x2 = 4x + -4x

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

Factor a trinomial.
(1 + -1x)(4 + 7x) = 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 '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 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 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Solution
x = {1, -0.5714285714}

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