3x^2-4x-15=x^2-4x+3

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Solution for 3x^2-4x-15=x^2-4x+3 equation:


Simplifying
3x2 + -4x + -15 = x2 + -4x + 3

Reorder the terms:
-15 + -4x + 3x2 = x2 + -4x + 3

Reorder the terms:
-15 + -4x + 3x2 = 3 + -4x + x2

Add '4x' to each side of the equation.
-15 + -4x + 4x + 3x2 = 3 + -4x + 4x + x2

Combine like terms: -4x + 4x = 0
-15 + 0 + 3x2 = 3 + -4x + 4x + x2
-15 + 3x2 = 3 + -4x + 4x + x2

Combine like terms: -4x + 4x = 0
-15 + 3x2 = 3 + 0 + x2
-15 + 3x2 = 3 + x2

Solving
-15 + 3x2 = 3 + 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.
-15 + 3x2 + -1x2 = 3 + x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-15 + 2x2 = 3 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-15 + 2x2 = 3 + 0
-15 + 2x2 = 3

Add '15' to each side of the equation.
-15 + 15 + 2x2 = 3 + 15

Combine like terms: -15 + 15 = 0
0 + 2x2 = 3 + 15
2x2 = 3 + 15

Combine like terms: 3 + 15 = 18
2x2 = 18

Divide each side by '2'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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