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Simplifying
3x(3x) + 5x + -2 + -7x(7x) + -5x + 4 = 0
Remove parenthesis around (3x)
3x * 3x + 5x + -2 + -7x(7x) + -5x + 4 = 0
Reorder the terms for easier multiplication:
3 * 3x * x + 5x + -2 + -7x(7x) + -5x + 4 = 0
Multiply 3 * 3
9x * x + 5x + -2 + -7x(7x) + -5x + 4 = 0
Multiply x * x
9x2 + 5x + -2 + -7x(7x) + -5x + 4 = 0
Remove parenthesis around (7x)
9x2 + 5x + -2 + -7x * 7x + -5x + 4 = 0
Reorder the terms for easier multiplication:
9x2 + 5x + -2 + -7 * 7x * x + -5x + 4 = 0
Multiply -7 * 7
9x2 + 5x + -2 + -49x * x + -5x + 4 = 0
Multiply x * x
9x2 + 5x + -2 + -49x2 + -5x + 4 = 0
Reorder the terms:
-2 + 4 + 5x + -5x + 9x2 + -49x2 = 0
Combine like terms: -2 + 4 = 2
2 + 5x + -5x + 9x2 + -49x2 = 0
Combine like terms: 5x + -5x = 0
2 + 0 + 9x2 + -49x2 = 0
2 + 9x2 + -49x2 = 0
Combine like terms: 9x2 + -49x2 = -40x2
2 + -40x2 = 0
Solving
2 + -40x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -40x2 = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -40x2 = 0 + -2
-40x2 = 0 + -2
Combine like terms: 0 + -2 = -2
-40x2 = -2
Divide each side by '-40'.
x2 = 0.05
Simplifying
x2 = 0.05
Take the square root of each side:
x = {-0.223606798, 0.223606798}
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