14(-5x+4)(-5x+4)=14

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Solution for 14(-5x+4)(-5x+4)=14 equation: 


Simplifying
14(-5x + 4)(-5x + 4) = 14

Reorder the terms:
14(4 + -5x)(-5x + 4) = 14

Reorder the terms:
14(4 + -5x)(4 + -5x) = 14

Multiply (4 + -5x) * (4 + -5x)
14(4(4 + -5x) + -5x * (4 + -5x)) = 14
14((4 * 4 + -5x * 4) + -5x * (4 + -5x)) = 14
14((16 + -20x) + -5x * (4 + -5x)) = 14
14(16 + -20x + (4 * -5x + -5x * -5x)) = 14
14(16 + -20x + (-20x + 25x2)) = 14

Combine like terms: -20x + -20x = -40x
14(16 + -40x + 25x2) = 14
(16 * 14 + -40x * 14 + 25x2 * 14) = 14
(224 + -560x + 350x2) = 14

Solving
224 + -560x + 350x2 = 14

Solving for variable 'x'.

Reorder the terms:
224 + -14 + -560x + 350x2 = 14 + -14

Combine like terms: 224 + -14 = 210
210 + -560x + 350x2 = 14 + -14

Combine like terms: 14 + -14 = 0
210 + -560x + 350x2 = 0

Factor out the Greatest Common Factor (GCF), '70'.
70(3 + -8x + 5x2) = 0

Factor a trinomial.
70((3 + -5x)(1 + -1x)) = 0

Ignore the factor 70.

Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

Subproblem 2
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
Solution
x = {0.6, 1}

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