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Simplifying
4x * -13x + 7 = 0
Reorder the terms for easier multiplication:
4 * -13x * x + 7 = 0
Multiply 4 * -13
-52x * x + 7 = 0
Multiply x * x
-52x2 + 7 = 0
Reorder the terms:
7 + -52x2 = 0
Solving
7 + -52x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -52x2 = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -52x2 = 0 + -7
-52x2 = 0 + -7
Combine like terms: 0 + -7 = -7
-52x2 = -7
Divide each side by '-52'.
x2 = 0.1346153846
Simplifying
x2 = 0.1346153846
Take the square root of each side:
x = {-0.366899693, 0.366899693}
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