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Simplifying
7x2 + 4 = 3x2 + 148
Reorder the terms:
4 + 7x2 = 3x2 + 148
Reorder the terms:
4 + 7x2 = 148 + 3x2
Solving
4 + 7x2 = 148 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
4 + 7x2 + -3x2 = 148 + 3x2 + -3x2
Combine like terms: 7x2 + -3x2 = 4x2
4 + 4x2 = 148 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
4 + 4x2 = 148 + 0
4 + 4x2 = 148
Add '-4' to each side of the equation.
4 + -4 + 4x2 = 148 + -4
Combine like terms: 4 + -4 = 0
0 + 4x2 = 148 + -4
4x2 = 148 + -4
Combine like terms: 148 + -4 = 144
4x2 = 144
Divide each side by '4'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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