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Simplifying
2(9x2 + -7) + -1[5(3x2) + 5] = 0
Reorder the terms:
2(-7 + 9x2) + -1[5(3x2) + 5] = 0
(-7 * 2 + 9x2 * 2) + -1[5(3x2) + 5] = 0
(-14 + 18x2) + -1[5(3x2) + 5] = 0
Remove parenthesis around (3x2)
-14 + 18x2 + -1[5 * 3x2 + 5] = 0
Multiply 5 * 3
-14 + 18x2 + -1[15x2 + 5] = 0
Reorder the terms:
-14 + 18x2 + -1[5 + 15x2] = 0
-14 + 18x2 + [5 * -1 + 15x2 * -1] = 0
-14 + 18x2 + [-5 + -15x2] = 0
Reorder the terms:
-14 + -5 + 18x2 + -15x2 = 0
Combine like terms: -14 + -5 = -19
-19 + 18x2 + -15x2 = 0
Combine like terms: 18x2 + -15x2 = 3x2
-19 + 3x2 = 0
Solving
-19 + 3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '19' to each side of the equation.
-19 + 19 + 3x2 = 0 + 19
Combine like terms: -19 + 19 = 0
0 + 3x2 = 0 + 19
3x2 = 0 + 19
Combine like terms: 0 + 19 = 19
3x2 = 19
Divide each side by '3'.
x2 = 6.333333333
Simplifying
x2 = 6.333333333
Take the square root of each side:
x = {-2.516611478, 2.516611478}
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