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Simplifying
100 = 4x2 + 3x2
Combine like terms: 4x2 + 3x2 = 7x2
100 = 7x2
Solving
100 = 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 + -7x2 = 7x2 + -7x2
Combine like terms: 7x2 + -7x2 = 0
100 + -7x2 = 0
Add '-100' to each side of the equation.
100 + -100 + -7x2 = 0 + -100
Combine like terms: 100 + -100 = 0
0 + -7x2 = 0 + -100
-7x2 = 0 + -100
Combine like terms: 0 + -100 = -100
-7x2 = -100
Divide each side by '-7'.
x2 = 14.28571429
Simplifying
x2 = 14.28571429
Take the square root of each side:
x = {-3.779644731, 3.779644731}
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