(16x^2)*(9x^2)=17.64

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Solution for (16x^2)*(9x^2)=17.64 equation:


Simplifying
(16x2)(9x2) = 17.64

Remove parenthesis around (16x2)
16x2(9x2) = 17.64

Remove parenthesis around (9x2)
16x2 * 9x2 = 17.64

Reorder the terms for easier multiplication:
16 * 9x2 * x2 = 17.64

Multiply 16 * 9
144x2 * x2 = 17.64

Multiply x2 * x2
144x4 = 17.64

Solving
144x4 = 17.64

Solving for variable 'x'.

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

Divide each side by '144'.
x4 = 0.1225

Simplifying
x4 = 0.1225

Reorder the terms:
-0.1225 + x4 = 0.1225 + -0.1225

Combine like terms: 0.1225 + -0.1225 = 0.0000
-0.1225 + x4 = 0.0000

Factor a difference between two squares.
(0.35 + x2)(-0.35 + x2) = 0.0000

Subproblem 1

Set the factor '(0.35 + x2)' equal to zero and attempt to solve: Simplifying 0.35 + x2 = 0 Solving 0.35 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-0.35' to each side of the equation. 0.35 + -0.35 + x2 = 0 + -0.35 Combine like terms: 0.35 + -0.35 = 0.00 0.00 + x2 = 0 + -0.35 x2 = 0 + -0.35 Combine like terms: 0 + -0.35 = -0.35 x2 = -0.35 Simplifying x2 = -0.35 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-0.35 + x2)' equal to zero and attempt to solve: Simplifying -0.35 + x2 = 0 Solving -0.35 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '0.35' to each side of the equation. -0.35 + 0.35 + x2 = 0 + 0.35 Combine like terms: -0.35 + 0.35 = 0.00 0.00 + x2 = 0 + 0.35 x2 = 0 + 0.35 Combine like terms: 0 + 0.35 = 0.35 x2 = 0.35 Simplifying x2 = 0.35 Take the square root of each side: x = {-0.591607978, 0.591607978}

Solution

x = {-0.591607978, 0.591607978}

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