5x^2-3x+4=x^2-3x+13

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Solution for 5x^2-3x+4=x^2-3x+13 equation: 


Simplifying
5x2 + -3x + 4 = x2 + -3x + 13

Reorder the terms:
4 + -3x + 5x2 = x2 + -3x + 13

Reorder the terms:
4 + -3x + 5x2 = 13 + -3x + x2

Add '3x' to each side of the equation.
4 + -3x + 3x + 5x2 = 13 + -3x + 3x + x2

Combine like terms: -3x + 3x = 0
4 + 0 + 5x2 = 13 + -3x + 3x + x2
4 + 5x2 = 13 + -3x + 3x + x2

Combine like terms: -3x + 3x = 0
4 + 5x2 = 13 + 0 + x2
4 + 5x2 = 13 + x2

Solving
4 + 5x2 = 13 + x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
4 + 5x2 + -1x2 = 13 + x2 + -1x2

Combine like terms: 5x2 + -1x2 = 4x2
4 + 4x2 = 13 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
4 + 4x2 = 13 + 0
4 + 4x2 = 13

Add '-4' to each side of the equation.
4 + -4 + 4x2 = 13 + -4

Combine like terms: 4 + -4 = 0
0 + 4x2 = 13 + -4
4x2 = 13 + -4

Combine like terms: 13 + -4 = 9
4x2 = 9

Divide each side by '4'.
x2 = 2.25

Simplifying
x2 = 2.25

Take the square root of each side:
x = {-1.5, 1.5}

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