4x^2+100=7x^2-200

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Solution for 4x^2+100=7x^2-200 equation:


Simplifying
4x2 + 100 = 7x2 + -200

Reorder the terms:
100 + 4x2 = 7x2 + -200

Reorder the terms:
100 + 4x2 = -200 + 7x2

Solving
100 + 4x2 = -200 + 7x2

Solving for variable 'x'.

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

Add '-7x2' to each side of the equation.
100 + 4x2 + -7x2 = -200 + 7x2 + -7x2

Combine like terms: 4x2 + -7x2 = -3x2
100 + -3x2 = -200 + 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
100 + -3x2 = -200 + 0
100 + -3x2 = -200

Add '-100' to each side of the equation.
100 + -100 + -3x2 = -200 + -100

Combine like terms: 100 + -100 = 0
0 + -3x2 = -200 + -100
-3x2 = -200 + -100

Combine like terms: -200 + -100 = -300
-3x2 = -300

Divide each side by '-3'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}

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