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Simplifying
25 = 2x(5x) + 4
Remove parenthesis around (5x)
25 = 2x * 5x + 4
Reorder the terms for easier multiplication:
25 = 2 * 5x * x + 4
Multiply 2 * 5
25 = 10x * x + 4
Multiply x * x
25 = 10x2 + 4
Reorder the terms:
25 = 4 + 10x2
Solving
25 = 4 + 10x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x2' to each side of the equation.
25 + -10x2 = 4 + 10x2 + -10x2
Combine like terms: 10x2 + -10x2 = 0
25 + -10x2 = 4 + 0
25 + -10x2 = 4
Add '-25' to each side of the equation.
25 + -25 + -10x2 = 4 + -25
Combine like terms: 25 + -25 = 0
0 + -10x2 = 4 + -25
-10x2 = 4 + -25
Combine like terms: 4 + -25 = -21
-10x2 = -21
Divide each side by '-10'.
x2 = 2.1
Simplifying
x2 = 2.1
Take the square root of each side:
x = {-1.449137675, 1.449137675}
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