4(73-(4x^2))+x^2=52

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Solution for 4(73-(4x^2))+x^2=52 equation:


Simplifying
4(73 + -1(4x2)) + x2 = 52

Remove parenthesis around (4x2)
4(73 + -1 * 4x2) + x2 = 52

Multiply -1 * 4
4(73 + -4x2) + x2 = 52
(73 * 4 + -4x2 * 4) + x2 = 52
(292 + -16x2) + x2 = 52

Combine like terms: -16x2 + x2 = -15x2
292 + -15x2 = 52

Solving
292 + -15x2 = 52

Solving for variable 'x'.

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

Add '-292' to each side of the equation.
292 + -292 + -15x2 = 52 + -292

Combine like terms: 292 + -292 = 0
0 + -15x2 = 52 + -292
-15x2 = 52 + -292

Combine like terms: 52 + -292 = -240
-15x2 = -240

Divide each side by '-15'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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