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Simplifying
15x2 + 5[7(x2 + -3) + 7] = 0
Reorder the terms:
15x2 + 5[7(-3 + x2) + 7] = 0
15x2 + 5[(-3 * 7 + x2 * 7) + 7] = 0
15x2 + 5[(-21 + 7x2) + 7] = 0
Reorder the terms:
15x2 + 5[-21 + 7 + 7x2] = 0
Combine like terms: -21 + 7 = -14
15x2 + 5[-14 + 7x2] = 0
15x2 + [-14 * 5 + 7x2 * 5] = 0
15x2 + [-70 + 35x2] = 0
Reorder the terms:
-70 + 15x2 + 35x2 = 0
Combine like terms: 15x2 + 35x2 = 50x2
-70 + 50x2 = 0
Solving
-70 + 50x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '70' to each side of the equation.
-70 + 70 + 50x2 = 0 + 70
Combine like terms: -70 + 70 = 0
0 + 50x2 = 0 + 70
50x2 = 0 + 70
Combine like terms: 0 + 70 = 70
50x2 = 70
Divide each side by '50'.
x2 = 1.4
Simplifying
x2 = 1.4
Take the square root of each side:
x = {-1.183215957, 1.183215957}
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