0=49+x^2-14x

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Solution for 0=49+x^2-14x equation:


Simplifying
0 = 49 + x2 + -14x

Reorder the terms:
0 = 49 + -14x + x2

Solving
0 = 49 + -14x + x2

Solving for variable 'x'.

Combine like terms: 0 + -49 = -49
-49 + 14x + -1x2 = 49 + -14x + x2 + -49 + 14x + -1x2

Reorder the terms:
-49 + 14x + -1x2 = 49 + -49 + -14x + 14x + x2 + -1x2

Combine like terms: 49 + -49 = 0
-49 + 14x + -1x2 = 0 + -14x + 14x + x2 + -1x2
-49 + 14x + -1x2 = -14x + 14x + x2 + -1x2

Combine like terms: -14x + 14x = 0
-49 + 14x + -1x2 = 0 + x2 + -1x2
-49 + 14x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-49 + 14x + -1x2 = 0

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

Subproblem 1

Set the factor '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7

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 = {7, 7}

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