-7.5x^2+4.8x-0.3=2.5x^2+10.02-10x^2

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Solution for -7.5x^2+4.8x-0.3=2.5x^2+10.02-10x^2 equation: 


Simplifying
-7.5x2 + 4.8x + -0.3 = 2.5x2 + 10.02 + -10x2

Reorder the terms:
-0.3 + 4.8x + -7.5x2 = 2.5x2 + 10.02 + -10x2

Reorder the terms:
-0.3 + 4.8x + -7.5x2 = 10.02 + 2.5x2 + -10x2

Combine like terms: 2.5x2 + -10x2 = -7.5x2
-0.3 + 4.8x + -7.5x2 = 10.02 + -7.5x2

Add '7.5x2' to each side of the equation.
-0.3 + 4.8x + -7.5x2 + 7.5x2 = 10.02 + -7.5x2 + 7.5x2

Combine like terms: -7.5x2 + 7.5x2 = 0.0
-0.3 + 4.8x + 0.0 = 10.02 + -7.5x2 + 7.5x2
-0.3 + 4.8x = 10.02 + -7.5x2 + 7.5x2

Combine like terms: -7.5x2 + 7.5x2 = 0.0
-0.3 + 4.8x = 10.02 + 0.0
-0.3 + 4.8x = 10.02

Solving
-0.3 + 4.8x = 10.02

Solving for variable 'x'.

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

Add '0.3' to each side of the equation.
-0.3 + 0.3 + 4.8x = 10.02 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + 4.8x = 10.02 + 0.3
4.8x = 10.02 + 0.3

Combine like terms: 10.02 + 0.3 = 10.32
4.8x = 10.32

Divide each side by '4.8'.
x = 2.15

Simplifying
x = 2.15

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