525(460+x)+525(460-x)=2.3(460+x)(460-x)

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Solution for 525(460+x)+525(460-x)=2.3(460+x)(460-x) equation: 


Simplifying
525(460 + x) + 525(460 + -1x) = 2.3(460 + x)(460 + -1x)
(460 * 525 + x * 525) + 525(460 + -1x) = 2.3(460 + x)(460 + -1x)
(241500 + 525x) + 525(460 + -1x) = 2.3(460 + x)(460 + -1x)
241500 + 525x + (460 * 525 + -1x * 525) = 2.3(460 + x)(460 + -1x)
241500 + 525x + (241500 + -525x) = 2.3(460 + x)(460 + -1x)

Reorder the terms:
241500 + 241500 + 525x + -525x = 2.3(460 + x)(460 + -1x)

Combine like terms: 241500 + 241500 = 483000
483000 + 525x + -525x = 2.3(460 + x)(460 + -1x)

Combine like terms: 525x + -525x = 0
483000 + 0 = 2.3(460 + x)(460 + -1x)
483000 = 2.3(460 + x)(460 + -1x)

Multiply (460 + x) * (460 + -1x)
483000 = 2.3(460(460 + -1x) + x(460 + -1x))
483000 = 2.3((460 * 460 + -1x * 460) + x(460 + -1x))
483000 = 2.3((211600 + -460x) + x(460 + -1x))
483000 = 2.3(211600 + -460x + (460 * x + -1x * x))
483000 = 2.3(211600 + -460x + (460x + -1x2))

Combine like terms: -460x + 460x = 0
483000 = 2.3(211600 + 0 + -1x2)
483000 = 2.3(211600 + -1x2)
483000 = (211600 * 2.3 + -1x2 * 2.3)
483000 = (486680 + -2.3x2)

Solving
483000 = 486680 + -2.3x2

Solving for variable 'x'.

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

Add '2.3x2' to each side of the equation.
483000 + 2.3x2 = 486680 + -2.3x2 + 2.3x2

Combine like terms: -2.3x2 + 2.3x2 = 0.0
483000 + 2.3x2 = 486680 + 0.0
483000 + 2.3x2 = 486680

Add '-483000' to each side of the equation.
483000 + -483000 + 2.3x2 = 486680 + -483000

Combine like terms: 483000 + -483000 = 0
0 + 2.3x2 = 486680 + -483000
2.3x2 = 486680 + -483000

Combine like terms: 486680 + -483000 = 3680
2.3x2 = 3680

Divide each side by '2.3'.
x2 = 1600

Simplifying
x2 = 1600

Take the square root of each side:
x = {-40, 40}

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