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Simplifying
5(x2 + -12) + -10 = 430
Reorder the terms:
5(-12 + x2) + -10 = 430
(-12 * 5 + x2 * 5) + -10 = 430
(-60 + 5x2) + -10 = 430
Reorder the terms:
-60 + -10 + 5x2 = 430
Combine like terms: -60 + -10 = -70
-70 + 5x2 = 430
Solving
-70 + 5x2 = 430
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 + 5x2 = 430 + 70
Combine like terms: -70 + 70 = 0
0 + 5x2 = 430 + 70
5x2 = 430 + 70
Combine like terms: 430 + 70 = 500
5x2 = 500
Divide each side by '5'.
x2 = 100
Simplifying
x2 = 100
Take the square root of each side:
x = {-10, 10}
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