x^2-14x-45=x^2-24

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Solution for x^2-14x-45=x^2-24 equation:


Simplifying
x2 + -14x + -45 = x2 + -24

Reorder the terms:
-45 + -14x + x2 = x2 + -24

Reorder the terms:
-45 + -14x + x2 = -24 + x2

Add '-1x2' to each side of the equation.
-45 + -14x + x2 + -1x2 = -24 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-45 + -14x + 0 = -24 + x2 + -1x2
-45 + -14x = -24 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-45 + -14x = -24 + 0
-45 + -14x = -24

Solving
-45 + -14x = -24

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + -14x = -24 + 45

Combine like terms: -45 + 45 = 0
0 + -14x = -24 + 45
-14x = -24 + 45

Combine like terms: -24 + 45 = 21
-14x = 21

Divide each side by '-14'.
x = -1.5

Simplifying
x = -1.5

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