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Simplifying
5x * 5x = 3x * 3x + 24
Reorder the terms for easier multiplication:
5 * 5x * x = 3x * 3x + 24
Multiply 5 * 5
25x * x = 3x * 3x + 24
Multiply x * x
25x2 = 3x * 3x + 24
Reorder the terms for easier multiplication:
25x2 = 3 * 3x * x + 24
Multiply 3 * 3
25x2 = 9x * x + 24
Multiply x * x
25x2 = 9x2 + 24
Reorder the terms:
25x2 = 24 + 9x2
Solving
25x2 = 24 + 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
25x2 + -9x2 = 24 + 9x2 + -9x2
Combine like terms: 25x2 + -9x2 = 16x2
16x2 = 24 + 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
16x2 = 24 + 0
16x2 = 24
Divide each side by '16'.
x2 = 1.5
Simplifying
x2 = 1.5
Take the square root of each side:
x = {-1.224744871, 1.224744871}
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