x^2+2x-3=x^2-17x+70

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Solution for x^2+2x-3=x^2-17x+70 equation:


Simplifying
x2 + 2x + -3 = x2 + -17x + 70

Reorder the terms:
-3 + 2x + x2 = x2 + -17x + 70

Reorder the terms:
-3 + 2x + x2 = 70 + -17x + x2

Add '-1x2' to each side of the equation.
-3 + 2x + x2 + -1x2 = 70 + -17x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 2x + 0 = 70 + -17x + x2 + -1x2
-3 + 2x = 70 + -17x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-3 + 2x = 70 + -17x + 0
-3 + 2x = 70 + -17x

Solving
-3 + 2x = 70 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
-3 + 2x + 17x = 70 + -17x + 17x

Combine like terms: 2x + 17x = 19x
-3 + 19x = 70 + -17x + 17x

Combine like terms: -17x + 17x = 0
-3 + 19x = 70 + 0
-3 + 19x = 70

Add '3' to each side of the equation.
-3 + 3 + 19x = 70 + 3

Combine like terms: -3 + 3 = 0
0 + 19x = 70 + 3
19x = 70 + 3

Combine like terms: 70 + 3 = 73
19x = 73

Divide each side by '19'.
x = 3.842105263

Simplifying
x = 3.842105263

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