7x(x)-19=4x(x)+29

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Solution for 7x(x)-19=4x(x)+29 equation: 


Simplifying
7x(x) + -19 = 4x(x) + 29

Multiply x * x
7x2 + -19 = 4x(x) + 29

Reorder the terms:
-19 + 7x2 = 4x(x) + 29

Multiply x * x
-19 + 7x2 = 4x2 + 29

Reorder the terms:
-19 + 7x2 = 29 + 4x2

Solving
-19 + 7x2 = 29 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
-19 + 7x2 + -4x2 = 29 + 4x2 + -4x2

Combine like terms: 7x2 + -4x2 = 3x2
-19 + 3x2 = 29 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-19 + 3x2 = 29 + 0
-19 + 3x2 = 29

Add '19' to each side of the equation.
-19 + 19 + 3x2 = 29 + 19

Combine like terms: -19 + 19 = 0
0 + 3x2 = 29 + 19
3x2 = 29 + 19

Combine like terms: 29 + 19 = 48
3x2 = 48

Divide each side by '3'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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