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Simplifying
5(x2 + -10) = 2(2x2 + 7)
Reorder the terms:
5(-10 + x2) = 2(2x2 + 7)
(-10 * 5 + x2 * 5) = 2(2x2 + 7)
(-50 + 5x2) = 2(2x2 + 7)
Reorder the terms:
-50 + 5x2 = 2(7 + 2x2)
-50 + 5x2 = (7 * 2 + 2x2 * 2)
-50 + 5x2 = (14 + 4x2)
Solving
-50 + 5x2 = 14 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
-50 + 5x2 + -4x2 = 14 + 4x2 + -4x2
Combine like terms: 5x2 + -4x2 = 1x2
-50 + 1x2 = 14 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-50 + 1x2 = 14 + 0
-50 + 1x2 = 14
Add '50' to each side of the equation.
-50 + 50 + 1x2 = 14 + 50
Combine like terms: -50 + 50 = 0
0 + 1x2 = 14 + 50
1x2 = 14 + 50
Combine like terms: 14 + 50 = 64
1x2 = 64
Divide each side by '1'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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