0=7x^2+5x-2

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Solution for 0=7x^2+5x-2 equation: 


Simplifying
0 = 7x2 + 5x + -2

Reorder the terms:
0 = -2 + 5x + 7x2

Solving
0 = -2 + 5x + 7x2

Solving for variable 'x'.

Combine like terms: 0 + 2 = 2
2 + -5x + -7x2 = -2 + 5x + 7x2 + 2 + -5x + -7x2

Reorder the terms:
2 + -5x + -7x2 = -2 + 2 + 5x + -5x + 7x2 + -7x2

Combine like terms: -2 + 2 = 0
2 + -5x + -7x2 = 0 + 5x + -5x + 7x2 + -7x2
2 + -5x + -7x2 = 5x + -5x + 7x2 + -7x2

Combine like terms: 5x + -5x = 0
2 + -5x + -7x2 = 0 + 7x2 + -7x2
2 + -5x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
2 + -5x + -7x2 = 0

Factor a trinomial.
(2 + -7x)(1 + x) = 0


Subproblem 1
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

Subproblem 2
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
Solution
x = {0.2857142857, -1}

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