4X^2+4X-35=0

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Solution for 4X^2+4X-35=0 equation: 


Simplifying
4X2 + 4X + -35 = 0

Reorder the terms:
-35 + 4X + 4X2 = 0

Solving
-35 + 4X + 4X2 = 0

Solving for variable 'X'.

Factor a trinomial.
(-7 + -2X)(5 + -2X) = 0


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

Simplifying
-7 + -2X = 0

Solving
-7 + -2X = 0

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

Add '7' to each side of the equation.
-7 + 7 + -2X = 0 + 7

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

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

Divide each side by '-2'.
X = -3.5

Simplifying
X = -3.5

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

Simplifying
5 + -2X = 0

Solving
5 + -2X = 0

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

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

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

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

Divide each side by '-2'.
X = 2.5

Simplifying
X = 2.5
Solution
X = {-3.5, 2.5}

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