x+8+x-2+3(2x+1)+4x+5=360
Answers
Answer:
Simplifying (x + -3)(x + 8) * x(x + -5) = 360 Reorder the terms: (-3 + x)(x + 8) * x(x + -5) = 360 Reorder the terms: (-3 + x)(8 + x) * x(x + -5) = 360 Reorder the terms: (-3 + x)(8 + x) * x(-5 + x) = 360 Reorder the terms for easier multiplication: x(-3 + x)(8 + x)(-5 + x) = 360 Multiply (-3 + x) * (8 + x) x(-3(8 + x) + x(8 + x))(-5 + x) = 360 x((8 * -3 + x * -3) + x(8 + x))(-5 + x) = 360 x((-24 + -3x) + x(8 + x))(-5 + x) = 360 x(-24 + -3x + (8 * x + x * x))(-5 + x) = 360 x(-24 + -3x + (8x + x2))(-5 + x) = 360 Combine like terms: -3x + 8x = 5x x(-24 + 5x + x2)(-5 + x) = 360 Multiply (-24 + 5x + x2) * (-5 + x) x(-24(-5 + x) + 5x * (-5 + x) + x2(-5 + x)) = 360 x((-5 * -24 + x * -24) + 5x * (-5 + x) + x2(-5 + x)) = 360 x((120 + -24x) + 5x * (-5 + x) + x2(-5 + x)) = 360 x(120 + -24x + (-5 * 5x + x * 5x) + x2(-5 + x)) = 360 x(120 + -24x + (-25x + 5x2) + x2(-5 + x)) = 360 x(120 + -24x + -25x + 5x2 + (-5 * x2 + x * x2)) = 360 x(120 + -24x + -25x + 5x2 + (-5x2 + x3)) = 360 Combine like terms: -24x + -25x = -49x x(120 + -49x + 5x2 + -5x2 + x3) = 360 Combine like terms: 5x2 + -5x2 = 0 x(120 + -49x + 0 + x3) = 360 x(120 + -49x + x3) = 360 (120 * x + -49x * x + x3 * x) = 360 (120x + -49x2 + x4) = 360 Solving 120x + -49x2 + x4 = 360 Solving for variable 'x'. Reorder the terms: -360 + 120x + -49x2 + x4 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + 120x + -49x2 + x4 = 0 The solution to this equation could not be determined.
Step-by-step explanation:
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Given question:
x + 8 + x - 2 + 3(2x + 1) + 4x + 5 = 360
Solution:
- Firstly simplify the term in bracket.
⇒ x + 8 + x - 2 + 6x + 3 + 4x + 5 = 360
- Group 'x' terms and constants separately.
⇒ (x + x + 6x + 4x) + (8 - 2 + 3 + 5) = 360
⇒ 12x + (14) = 360
- Subtract both sides by 14.
⇒ 12x = 360 - 14
⇒ 12x = 346
- Dividing by 12 on both sides,
⇒ x = 346 ÷ 12
⇒ x = 173 ÷ 6
⇒ x = 28.833
∴ The value of x = 28.833