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Simplifying
5(7 + -2x) = 2x(x + -5)
(7 * 5 + -2x * 5) = 2x(x + -5)
(35 + -10x) = 2x(x + -5)
Reorder the terms:
35 + -10x = 2x(-5 + x)
35 + -10x = (-5 * 2x + x * 2x)
35 + -10x = (-10x + 2x2)
Add '10x' to each side of the equation.
35 + -10x + 10x = -10x + 10x + 2x2
Combine like terms: -10x + 10x = 0
35 + 0 = -10x + 10x + 2x2
35 = -10x + 10x + 2x2
Combine like terms: -10x + 10x = 0
35 = 0 + 2x2
35 = 2x2
Solving
35 = 2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2x2' to each side of the equation.
35 + -2x2 = 2x2 + -2x2
Combine like terms: 2x2 + -2x2 = 0
35 + -2x2 = 0
Add '-35' to each side of the equation.
35 + -35 + -2x2 = 0 + -35
Combine like terms: 35 + -35 = 0
0 + -2x2 = 0 + -35
-2x2 = 0 + -35
Combine like terms: 0 + -35 = -35
-2x2 = -35
Divide each side by '-2'.
x2 = 17.5
Simplifying
x2 = 17.5
Take the square root of each side:
x = {-4.183300133, 4.183300133}
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