(4x)-(1.4x^2-x-290)=1.4x^2+5x+290

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Solution for (4x)-(1.4x^2-x-290)=1.4x^2+5x+290 equation:


Simplifying
(4x) + -1(1.4x2 + -1x + -290) = 1.4x2 + 5x + 290

Reorder the terms:
(4x) + -1(-290 + -1x + 1.4x2) = 1.4x2 + 5x + 290
(4x) + (-290 * -1 + -1x * -1 + 1.4x2 * -1) = 1.4x2 + 5x + 290
(4x) + (290 + 1x + -1.4x2) = 1.4x2 + 5x + 290

Reorder the terms:
290 + (4x) + 1x + -1.4x2 = 1.4x2 + 5x + 290

Combine like terms: (4x) + 1x = 5x
290 + 5x + -1.4x2 = 1.4x2 + 5x + 290

Reorder the terms:
290 + 5x + -1.4x2 = 290 + 5x + 1.4x2

Add '-290' to each side of the equation.
290 + 5x + -290 + -1.4x2 = 290 + 5x + -290 + 1.4x2

Reorder the terms:
290 + -290 + 5x + -1.4x2 = 290 + 5x + -290 + 1.4x2

Combine like terms: 290 + -290 = 0
0 + 5x + -1.4x2 = 290 + 5x + -290 + 1.4x2
5x + -1.4x2 = 290 + 5x + -290 + 1.4x2

Reorder the terms:
5x + -1.4x2 = 290 + -290 + 5x + 1.4x2

Combine like terms: 290 + -290 = 0
5x + -1.4x2 = 0 + 5x + 1.4x2
5x + -1.4x2 = 5x + 1.4x2

Add '-5x' to each side of the equation.
5x + -5x + -1.4x2 = 5x + -5x + 1.4x2

Combine like terms: 5x + -5x = 0
0 + -1.4x2 = 5x + -5x + 1.4x2
-1.4x2 = 5x + -5x + 1.4x2

Combine like terms: 5x + -5x = 0
-1.4x2 = 0 + 1.4x2
-1.4x2 = 1.4x2

Solving
-1.4x2 = 1.4x2

Solving for variable 'x'.

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

Add '-1.4x2' to each side of the equation.
-1.4x2 + -1.4x2 = 1.4x2 + -1.4x2

Combine like terms: -1.4x2 + -1.4x2 = -2.8x2
-2.8x2 = 1.4x2 + -1.4x2

Combine like terms: 1.4x2 + -1.4x2 = 0.0
-2.8x2 = 0.0

Divide each side by '-2.8'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

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