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Simplifying
21 + -7(19 + -1x2 + 6) + -3x2 + 1 = 0
Reorder the terms:
21 + -7(19 + 6 + -1x2) + -3x2 + 1 = 0
Combine like terms: 19 + 6 = 25
21 + -7(25 + -1x2) + -3x2 + 1 = 0
21 + (25 * -7 + -1x2 * -7) + -3x2 + 1 = 0
21 + (-175 + 7x2) + -3x2 + 1 = 0
Reorder the terms:
21 + -175 + 1 + 7x2 + -3x2 = 0
Combine like terms: 21 + -175 = -154
-154 + 1 + 7x2 + -3x2 = 0
Combine like terms: -154 + 1 = -153
-153 + 7x2 + -3x2 = 0
Combine like terms: 7x2 + -3x2 = 4x2
-153 + 4x2 = 0
Solving
-153 + 4x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '153' to each side of the equation.
-153 + 153 + 4x2 = 0 + 153
Combine like terms: -153 + 153 = 0
0 + 4x2 = 0 + 153
4x2 = 0 + 153
Combine like terms: 0 + 153 = 153
4x2 = 153
Divide each side by '4'.
x2 = 38.25
Simplifying
x2 = 38.25
Take the square root of each side:
x = {-6.184658438, 6.184658438}
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