4x^2+3x-50=3x+150

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Solution for 4x^2+3x-50=3x+150 equation: 


Simplifying
4x2 + 3x + -50 = 3x + 150

Reorder the terms:
-50 + 3x + 4x2 = 3x + 150

Reorder the terms:
-50 + 3x + 4x2 = 150 + 3x

Add '-3x' to each side of the equation.
-50 + 3x + -3x + 4x2 = 150 + 3x + -3x

Combine like terms: 3x + -3x = 0
-50 + 0 + 4x2 = 150 + 3x + -3x
-50 + 4x2 = 150 + 3x + -3x

Combine like terms: 3x + -3x = 0
-50 + 4x2 = 150 + 0
-50 + 4x2 = 150

Solving
-50 + 4x2 = 150

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 4x2 = 150 + 50

Combine like terms: -50 + 50 = 0
0 + 4x2 = 150 + 50
4x2 = 150 + 50

Combine like terms: 150 + 50 = 200
4x2 = 200

Divide each side by '4'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}

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