x^2+14x=x^2-45

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Solution for x^2+14x=x^2-45 equation:


Simplifying
x2 + 14x = x2 + -45

Reorder the terms:
14x + x2 = x2 + -45

Reorder the terms:
14x + x2 = -45 + x2

Add '-1x2' to each side of the equation.
14x + x2 + -1x2 = -45 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14x + 0 = -45 + x2 + -1x2
14x = -45 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
14x = -45 + 0
14x = -45

Solving
14x = -45

Solving for variable 'x'.

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

Divide each side by '14'.
x = -3.214285714

Simplifying
x = -3.214285714

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