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Simplifying
7x + 2 + -5x2 = -23 + 7x + -1x2
Reorder the terms:
2 + 7x + -5x2 = -23 + 7x + -1x2
Add '-7x' to each side of the equation.
2 + 7x + -7x + -5x2 = -23 + 7x + -7x + -1x2
Combine like terms: 7x + -7x = 0
2 + 0 + -5x2 = -23 + 7x + -7x + -1x2
2 + -5x2 = -23 + 7x + -7x + -1x2
Combine like terms: 7x + -7x = 0
2 + -5x2 = -23 + 0 + -1x2
2 + -5x2 = -23 + -1x2
Solving
2 + -5x2 = -23 + -1x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x2' to each side of the equation.
2 + -5x2 + x2 = -23 + -1x2 + x2
Combine like terms: -5x2 + x2 = -4x2
2 + -4x2 = -23 + -1x2 + x2
Combine like terms: -1x2 + x2 = 0
2 + -4x2 = -23 + 0
2 + -4x2 = -23
Add '-2' to each side of the equation.
2 + -2 + -4x2 = -23 + -2
Combine like terms: 2 + -2 = 0
0 + -4x2 = -23 + -2
-4x2 = -23 + -2
Combine like terms: -23 + -2 = -25
-4x2 = -25
Divide each side by '-4'.
x2 = 6.25
Simplifying
x2 = 6.25
Take the square root of each side:
x = {-2.5, 2.5}
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