0=287-69x+4x^2

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Solution for 0=287-69x+4x^2 equation: 


Simplifying
0 = 287 + -69x + 4x2

Solving
0 = 287 + -69x + 4x2

Solving for variable 'x'.

Combine like terms: 0 + -287 = -287
-287 + 69x + -4x2 = 287 + -69x + 4x2 + -287 + 69x + -4x2

Reorder the terms:
-287 + 69x + -4x2 = 287 + -287 + -69x + 69x + 4x2 + -4x2

Combine like terms: 287 + -287 = 0
-287 + 69x + -4x2 = 0 + -69x + 69x + 4x2 + -4x2
-287 + 69x + -4x2 = -69x + 69x + 4x2 + -4x2

Combine like terms: -69x + 69x = 0
-287 + 69x + -4x2 = 0 + 4x2 + -4x2
-287 + 69x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-287 + 69x + -4x2 = 0

Factor a trinomial.
(-41 + 4x)(7 + -1x) = 0


Subproblem 1
Set the factor '(-41 + 4x)' equal to zero and attempt to solve:

Simplifying
-41 + 4x = 0

Solving
-41 + 4x = 0

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

Add '41' to each side of the equation.
-41 + 41 + 4x = 0 + 41

Combine like terms: -41 + 41 = 0
0 + 4x = 0 + 41
4x = 0 + 41

Combine like terms: 0 + 41 = 41
4x = 41

Divide each side by '4'.
x = 10.25

Simplifying
x = 10.25

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

Simplifying
7 + -1x = 0

Solving
7 + -1x = 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 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7
Solution
x = {10.25, 7}

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